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## Unit 5: Linear Systems of Equations

## Homework: Systems of Equations Word Problems Quiz - Quizizz

### 5.1: Solve Systems of Equations by Graphing

A system of linear equations is a set of linear equations that have common variables. Common systems consist of two variables, x and y, and two linear equations. The solution to the system is the value of x and y that satisfy both equations. There are two ways to solve systems: substitution and elimination. Step 1: Solve one equation in terms of one of the variables whichever is easier. Step 2: Substitute one equation into the other in terms of the variable found in step one.

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? Grade Level. Resource Type. Log In Join Us. View Wish List View Cart. You Selected: Keyword systems of equations graphing worksheet.

If you missed this problem, review Example 1. If you missed this problem, review Example 2. We have solved systems of linear equations by graphing and by substitution. Graphing works well when the variable coefficients are small and the solution has integer values.

There are two methods that will be used in this lesson to solve a system of linear equations algebraically. They are 1 substitution , and 2 elimination. They are both aimed at eliminating one variable so that normal algebraic means can be used to solve for the other variable. Once one variable is solved, then substitution will be used in both above methods to find the second variable. Special Circumstances.

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