Learning Objectives:

__Math Tutoring on Solving Systems of Equations Using Elimination__

In this method **multiply** one or both of the equations by the appropriate numbers so that one of the variables will have the **same coefficient** with **opposite signs. **Add the two equations together because one of the variables had the same coefficient with the opposite sign and will be **eliminated when added** to the other equation. Then solve the resulting equation and substitute this answer back into one of the original equations to find the remaining variable. Following are the steps:

**1**. **“****Line up”** the variables.

**2.** Determine which **variable **to** eliminate.** Make **coefficients opposites.**

**3. Add** straight down, one variable should be **eliminated. **

**4. Solve** the resulting equation.

**5. Substitute** this result into either of the original equations.

**6.** Solve the variable to find the **ordered pair solution**.

**7. Check **the solution in both original equations.

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**Hook Questions:**

*1. **What are the different methods to solve the system of equations? *

*2. **Why is this method known as the method of elimination? *

*3. **Is it necessary to check the result, if so then why?*

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