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# 7_1 - 7.1 Systems of Equations 7.1 SYSTEMS OF EQUATIONS...

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7.1 Systems of Equations Algebra 2 9 7.1 SYSTEMS OF EQUATIONS Learning Targets 1. Identify the solution(s) to a system of equations using a graph. 2. Use substitution to solve a system of linear equations. 3. Solve a contextual problem by writing and solving a system of equations. A system of equations is two or more equations with the same variables. The solution(s) to a system of equations can be found graphically by finding the point(s) of intersections on a graph. Solving a system of equations by graphing works great when you have graphing calculator to work with, or you just want a visual approach to the problem. Example 1 : Solve the system of equations by graphing: 2 3 2 5 10 x y x y Example 2 : Solve the system of equations by graphing: 5 9 3 21 x y x y   A second way to solve systems of equations is through a method called substitution. Substitution involves solving for one variable and “substituting” it into the other equation.

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7_1 - 7.1 Systems of Equations 7.1 SYSTEMS OF EQUATIONS...

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