# How do you solve #5x - y = -9# and #y + 2x = 2#?

##### 1 Answer

The solution is

#### Explanation:

Solve the linear system:

I am going to solve the system by elimination and substitution.

**Rearrange Equation 2 to standard form: #Ax+By=C#**

**Multiply Equation 2 by #-1#. This will reverse the signs, but the graph will remain the same.**

**Add Equation 1 and Equation 2.**

**Divide both sides by #3#.**

**Substitute #-11/3# for #x# in Equation 2 and solve for #y#.**

Multiply both sides by

Add

Simplify

Divide both sides by

graph{(5x-y+9)(-2x+y+2)=0 [-12.795, 9.705, -15.865, -4.615]}