# How do you solve 2x + 5y = 13 and y = –2x + 17?

Oct 15, 2015

$y = - 1$
$x = 9$

#### Explanation:

equation1 = 2x + 5y = 13
equation2 = y = -2x + 17

Rearrange Equation2

2x + y = 17

Now,

Equation 1:
2x + 5y = 13

Equation 2:
2x + y = 17

Subtract Equation2 from Equation1

4y = -4

$y = - 1$

Put this value of y in Equation1 or Equation2

Putting in Equation1
$2 x + 5 \left(- 1\right) = 13$
$2 x - 5 = 13$
$2 x = 13 + 5$
$2 x = 18$
$x = 9$