{"id":154778,"date":"2022-03-25T23:54:48","date_gmt":"2022-03-25T18:24:48","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/simultaneous-equations\/"},"modified":"2022-12-27T21:08:05","modified_gmt":"2022-12-27T15:38:05","slug":"simultaneous-equations","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/","title":{"rendered":"Simultaneous Equations"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/#Real-life_Applications_of_Simultaneous_Equations\" title=\"Real-life Applications of Simultaneous Equations\">Real-life Applications of Simultaneous Equations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/#Understanding_Simultaneous_Equations\" title=\"Understanding Simultaneous Equations\">Understanding Simultaneous Equations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/#Methods_of_Solving_Simultaneous_Equations\" title=\"Methods of Solving Simultaneous Equations\">Methods of Solving Simultaneous Equations<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/#1_Substitution\" title=\"1. Substitution\">1. Substitution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/#2_Elimination\" title=\"2. Elimination\">2. Elimination<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/#3_Graphical_Method\" title=\"3. Graphical Method\">3. Graphical Method<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/#4_Method_of_Least_Squares\" title=\"4. Method of Least Squares\">4. Method of Least Squares<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Real-life_Applications_of_Simultaneous_Equations\"><\/span>Real-life Applications of Simultaneous Equations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/simultaneous-equations\/\">Simultaneous equations<\/a> are used in a variety of real-life applications, including engineering, physics, and finance.<\/p>\n<p>One common application is solving for unknown quantities in a physical problem. For example, in a physics problem involving two masses connected by a spring, the equations of motion can be solved to determine the acceleration, velocity, and displacement of the masses over time.<\/p>\n<p>Another application of simultaneous equations is in financial modeling. In this application, equations are used to predict future financial outcomes based on past data. For example, a financial model might use simultaneous equations to predict future stock prices or interest rates.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154777 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/simultaneous-equations.jpg\" alt=\"Simultaneous Equations\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/simultaneous-equations.jpg?v=1648232683 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/simultaneous-equations-300x212.jpg?v=1648232683 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Understanding_Simultaneous_Equations\"><\/span>Understanding Simultaneous Equations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Simultaneous equations two or more equations that solved together. They usually represented by two equations with two or more unknowns. The equations solved by manipulating one or more of the unknowns until one or both of the equations solved.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Methods_of_Solving_Simultaneous_Equations\"><\/span>Methods of Solving Simultaneous Equations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a variety of methods that can used to solve simultaneous equations.<\/p>\n<p>The most common methods are:<\/p>\n<p>1. Substitution<br \/>\n2. Elimination<br \/>\n3. Graphical Method<br \/>\n4. Method of Least Squares<\/p>\n<h4><span class=\"ez-toc-section\" id=\"1_Substitution\"><\/span>1. Substitution<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>If one of the equations is simple enough to solve for one of the variables, then substitution can used. For example, if one of the equations is in the form y = mx + b, then the variable can solved for by solving for y in the other equation and substituting that value into the equation that solved for y.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"2_Elimination\"><\/span>2. Elimination<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>If both equations are in the form of y = mx + b, then the two variables can eliminated by adding or subtracting the two equations. For example, if equation 1 is y = 2x + 3 and equation 2 is y = x \u2013 5, then the two variables can eliminated by adding the two equations. This will give the equation y = 7x + 8.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"3_Graphical_Method\"><\/span>3. Graphical Method<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>If the two equations are in the form of y = mx + b, then the graphical method can used to solve the equations. This method involves graphing the two equations and finding the point of intersection.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"4_Method_of_Least_Squares\"><\/span>4. Method of Least Squares<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>If the two equations are in the form of y = mx + b, then the method of least squares can be<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Real-life Applications of Simultaneous Equations Simultaneous equations are used in a variety of real-life applications, including engineering, physics, and finance. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Simultaneous Equations","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Simultaneous Equations topic of Maths in details explained by subject experts on infinitylearn.com. 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