{"id":15362,"date":"2021-10-11T23:05:37","date_gmt":"2021-10-11T23:05:37","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/lesson-2-algebraic-methods-for-solving-systems-of-equations\/"},"modified":"2021-11-01T01:50:01","modified_gmt":"2021-11-01T01:50:01","slug":"algebraic-methods-for-solving-systems-of-equations","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/algebraic-methods-for-solving-systems-of-equations\/","title":{"raw":"Introduction to Algebraic Methods for Solving Systems","rendered":"Introduction to Algebraic Methods for Solving Systems"},"content":{"raw":"

What you'll learn to do: Use algebraic methods to solve systems of linear equations.<\/h2>\r\nA graph can be used to show the solution for a system of two linear equations. However, accurately determining the solution from a graph is not always easy or accurate. For example, where do you think the two lines shown below intersect?\r\n\r\n\"Two\r\n\r\n \r\n\r\nIt looks like they might intersect at [latex](1.8,\u20130.7)[\/latex]\u2014though this is only an estimate. In cases like this, you can use algebraic methods to find exact answers. One of the methods we will learn\u00a0is called the substitution method<\/b>. The other algebraic method for solving systems of two equations is called the\u00a0elimination method.\u00a0<\/strong>\r\n\r\nSpecifically, in this section you\u2019ll learn how to:\r\n