# How do you solve y=x+3 and y=2x-4 using substitution?

Mar 9, 2016

x = 7 , y = 10

#### Explanation:

The 2 equations are both given in terms of x , hence can be equated directly.

thus : 2x - 4 = x + 3

collect x terms to left and numbers to right

$\Rightarrow x = 3 + 4 = 7$

now substitute x = 7 into y = x + 3 ( or y = 2x - 4 )

hence y = 7 + 3 = 10