{"id":65115,"date":"2025-08-18T10:07:06","date_gmt":"2025-08-18T07:07:06","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=65115"},"modified":"2026-10-23T17:02:19","modified_gmt":"2026-10-23T14:02:19","slug":"elimination-method","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/mathematics\/elimination-method\/","title":{"rendered":"System of Equations Calculator \u2013 Elimination Method"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Solve Linear Systems with the Elimination Method<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"65115\" data-favorite-title=\"Elimination Method\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/mathematics\/elimination-method\/\" data-favorite-excerpt=\"Solve a system of two linear equations with the elimination method. Enter the six coefficients a1, b1, c1, a2, b2, c2 and get the values of x and y, or a message when there is no unique solution.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-algebra\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/mathematics\/elimination-method\/\" method=\"POST\" class=\"calculator\" id=\"calculator-65115\" data-post=\"65115\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">System size<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"system_size\"><option value=\"2\" selected>2 equations, 2 unknowns (x, y)<\/option><option value=\"3\">3 equations, 3 unknowns (x, y, z)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">Method<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"method\"><option value=\"elimination\" selected>Elimination<\/option><option value=\"substitution\">Substitution<\/option><option value=\"cramer\">Cramer&#039;s rule<\/option><option value=\"gauss\">Gauss\u2013Jordan (row reduction)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><div class=\"is-single field\" id=\"input-3\"><span class=\"font-semibold\">Equation 1: a\u2081x + b\u2081y + c\u2081z = d\u2081<\/span><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Coefficient of x<\/label><div class=\"term\">a\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_x\" id=\"field-4\" step=\"any\" value=\"2\"\/><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">Coefficient of y<\/label><div class=\"term\">b\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_y\" id=\"field-5\" step=\"any\" value=\"3\"\/><\/div><div class=\"field has-term\" id=\"input-6\" hidden><label for=\"field-6\">Coefficient of z<\/label><div class=\"term\">c\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_z\" id=\"field-6\" step=\"any\" value=\"1\"\/><\/div><div class=\"field has-term\" id=\"input-7\"><label for=\"field-7\">Constant (right side)<\/label><div class=\"term\">d\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"constant_right_side\" id=\"field-7\" step=\"any\" value=\"8\"\/><\/div><div class=\"is-single field\" id=\"input-8\"><span class=\"font-semibold\">Equation 2: a\u2082x + b\u2082y + c\u2082z = d\u2082<\/span><\/div><div class=\"field has-term\" id=\"input-9\"><label for=\"field-9\">Coefficient of x<\/label><div class=\"term\">a\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_x\" id=\"field-9\" step=\"any\" value=\"1\"\/><\/div><div class=\"field has-term\" id=\"input-10\"><label for=\"field-10\">Coefficient of y<\/label><div class=\"term\">b\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_y\" id=\"field-10\" step=\"any\" value=\"-1\"\/><\/div><div class=\"field has-term\" id=\"input-11\" hidden><label for=\"field-11\">Coefficient of z<\/label><div class=\"term\">c\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_z\" id=\"field-11\" step=\"any\" value=\"-2\"\/><\/div><div class=\"field has-term\" id=\"input-12\"><label for=\"field-12\">Constant (right side)<\/label><div class=\"term\">d\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"constant_right_side\" id=\"field-12\" step=\"any\" value=\"-1\"\/><\/div><div class=\"is-single field\" id=\"input-13\" hidden><span class=\"font-semibold\">Equation 3: a\u2083x + b\u2083y + c\u2083z = d\u2083<\/span><\/div><div class=\"field has-term\" id=\"input-14\" hidden><label for=\"field-14\">Coefficient of x<\/label><div class=\"term\">a\u2083<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_x\" id=\"field-14\" step=\"any\" value=\"3\"\/><\/div><div class=\"field has-term\" id=\"input-15\" hidden><label for=\"field-15\">Coefficient of y<\/label><div class=\"term\">b\u2083<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_y\" id=\"field-15\" step=\"any\" value=\"1\"\/><\/div><div class=\"field has-term\" id=\"input-16\" hidden><label for=\"field-16\">Coefficient of z<\/label><div class=\"term\">c\u2083<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"coefficient_of_z\" id=\"field-16\" step=\"any\" value=\"-1\"\/><\/div><div class=\"field has-term\" id=\"input-17\" hidden><label for=\"field-17\">Constant (right side)<\/label><div class=\"term\">d\u2083<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"constant_right_side\" id=\"field-17\" step=\"any\" value=\"6\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"65115\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>x<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>y<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>z<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>Solution<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-5\"><span class=\"field-title\"><span>Step-by-step solution<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"65115\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">1<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Elimination Method<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[\\begin{aligned} a_1x + b_1y &amp;= c_1 \\\\ a_2x + b_2y &amp;= c_2 \\end{aligned}\\]\n\\[ x = \\frac{c_1b_2 - c_2b_1}{a_1b_2 - a_2b_1}, \\qquad y = \\frac{a_1c_2 - a_2c_1}{a_1b_2 - a_2b_1} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(a_1, b_1, c_1\\) \u2014 coefficients and constant of the first equation<\/li>\n<li>\\(a_2, b_2, c_2\\) \u2014 coefficients and constant of the second equation<\/li>\n<li>\\(D = a_1b_2 - a_2b_1\\) \u2014 the determinant of the system<\/li>\n<\/ul>\n<p>The two formulas are the compact result of the elimination process: after multiplying and adding or subtracting the equations so that one variable cancels, each unknown is obtained as a ratio of determinants (Cramer's rule).<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Elimination Method \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> solve the system \\(2x + 3y = 8\\) and \\(x - y = -1\\) (the calculator's default values).<\/p>\n<p><strong>Step 1:<\/strong> eliminate \\(y\\). Multiply the second equation by 3:<\/p>\n<p>\\[ 3(x - y) = 3(-1) \\;\\Rightarrow\\; 3x - 3y = -3 \\]<\/p>\n<p><strong>Step 2:<\/strong> add the equations \u2014 the \\(y\\)-terms cancel:<\/p>\n<p>\\[ (2x + 3y) + (3x - 3y) = 8 + (-3) \\;\\Rightarrow\\; 5x = 5 \\;\\Rightarrow\\; x = 1 \\]<\/p>\n<p><strong>Step 3:<\/strong> substitute \\(x = 1\\) into the second equation:<\/p>\n<p>\\[ 1 - y = -1 \\;\\Rightarrow\\; y = 2 \\]<\/p>\n<p><strong>Result:<\/strong> \\(x = 1\\), \\(y = 2\\). Check: \\(2(1) + 3(2) = 8\\) and \\(1 - 2 = -1\\).<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Write your system in the standard form \\(a_1x + b_1y = c_1\\) and \\(a_2x + b_2y = c_2\\), moving all constants to the right side.<\/li>\n<li>Enter the three numbers of the first equation in the fields <strong>Coefficient a\u2081<\/strong>, <strong>Coefficient b\u2081<\/strong> and <strong>Constant c\u2081<\/strong>.<\/li>\n<li>Enter the three numbers of the second equation in <strong>Coefficient a\u2082<\/strong>, <strong>Coefficient b\u2082<\/strong> and <strong>Constant c\u2082<\/strong>. Use a minus sign for negative coefficients.<\/li>\n<li>Read the results: the calculator shows the values of <strong>x<\/strong> and <strong>y<\/strong> rounded to 4 decimal places, or a message telling you whether the system has infinitely many solutions or none at all.<\/li>\n<\/ol>\n<h2>What Is the Elimination Method?<\/h2>\n<p>The elimination method (also called the addition method) solves a system of two linear equations by removing one variable so that a single equation with one unknown remains. You multiply one or both equations by suitable numbers so that the coefficients of \\(x\\) or \\(y\\) become equal or opposite, then add or subtract the equations. The chosen variable cancels out, leaving a simple equation such as \\(5x = 5\\), which is solved immediately. The second variable is then found by substituting the first result back into either original equation.<\/p>\n<p>Because the whole process reduces to fixed arithmetic on the six coefficients, it can be condensed into the determinant formulas shown above. The denominator \\(D = a_1b_2 - a_2b_1\\) tells you whether a unique solution exists: if \\(D \\neq 0\\), the two lines intersect at exactly one point, and the formulas give its coordinates directly. This is the same idea that powers Cramer's rule and, in later courses, Gaussian elimination for larger systems.<\/p>\n<p>The method is often preferred over substitution when the coefficients are small integers, because the multiplication and addition steps stay tidy and errors are easy to spot. It is a standard topic in school algebra and a foundation for linear algebra, economics modeling, and any field that works with simultaneous equations. After solving, always check the result by substituting \\(x\\) and \\(y\\) into both original equations \u2014 both must balance, not just one.<\/p>\n<h2>Special Cases, Assumptions and Tips<\/h2>\n<ul>\n<li><strong>Parallel lines (no solution):<\/strong> if \\(D = 0\\) but at least one of the numerators is nonzero, the two equations describe parallel lines that never meet. The calculator reports \"No solution\".<\/li>\n<li><strong>Coincident lines (infinite solutions):<\/strong> if \\(D = 0\\) and both numerators are zero, the two equations are equivalent \u2014 the same line written twice. The calculator reports \"Infinite solutions\".<\/li>\n<li><strong>Fractions and decimals:<\/strong> the coefficients may be decimals; results are rounded to 4 decimal places, so a value like \\(0.6667\\) usually means the exact answer is a fraction such as \\(2\/3\\).<\/li>\n<li><strong>Standard form required:<\/strong> rearrange each equation so that the \\(x\\)-term, the \\(y\\)-term and the constant appear in that order; otherwise the coefficients will not land in the right fields.<\/li>\n<li><strong>Two equations only:<\/strong> this calculator handles systems with exactly two equations and two unknowns. Larger systems need matrix methods such as Gaussian elimination.<\/li>\n<\/ul>\n<p>Once you have solved the linear system, related tools can help with the rest of your work: the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/quadratic-equation-2\/\">Quadratic Equation Calculator<\/a> handles second-degree equations, the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/linear-inequalities-calculator\/\">Linear Inequality Calculator<\/a> deals with inequalities instead of equations, and the <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/proportion-calculator\/\">Proportion Calculator<\/a> is useful when a problem reduces to a single ratio.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solve a system of two linear equations with the elimination method. Enter the six coefficients a1, b1, c1, a2, b2, c2 and get the values of x and y, or a message when there is no unique solution.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[7],"tags":[11],"class_list":["post-65115","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-algebra"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65115","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=65115"}],"version-history":[{"count":4,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65115\/revisions"}],"predecessor-version":[{"id":67503,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/65115\/revisions\/67503"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=65115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=65115"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=65115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}