# How do you solve the following system using substitution?: #x=4-4y, -x+2y=2#

##### 1 Answer

Nov 5, 2015

y = 1

x=0

#### Explanation:

First replace all values of x in the second equation with

Which gives you:

Then solve using algebra:

Distribute the

Combine all all the y values

Add 4 to both sides

Finally divide both sides by 6

Thus your y value is equal to 1. To find the x value, substitute this 1 into one of the equations for all y's

Then simplify

thus x is equal to 0

You could also check your answer by substituting both values into the other equation

Your answers are correct!