# How do solve the following linear system?:  -x+5y=-13 , -4x-2y=14 ?

Dec 31, 2015

To solve using substitution, start by isolating a variable.

#### Explanation:

-x + 5y = -13
-x = -13 - 5y
x = 13 + 5y
-4(13 + 5y) - 2y = 14
-52 - 22y = 14
-22y = 14 + 52
-22y = 66
y = -3

Plug in -3 for y in one of the equations

-x + 5(-3) = -13
-x - 15 = -13
-x = -13 + 15
-x = 2
x = -2

The solution set is (-2, -3)

Hopefully you understand my explanation.