# How do you solve the following system?: # y= x-6 , x + 2y = 3 #

##### 1 Answer

Nov 16, 2015

Use substitution to find:

#### Explanation:

The first equation gives us an expression for

#3 = x + 2y#

#= x + 2(x-6)#

#= x + 2x - 12#

#= 3x - 12#

Add

#3x=15#

Divide both sides by

#x = 5#

Then from the first equation:

#y = x - 6 = 5 - 6 = -1#