# How do you solve the following system?: 8x +y =12, 7x -5y = -4

Apr 13, 2018

$x = \frac{56}{47}$

#### Explanation:

So I first re write one equation in this case so we know what y is equal to. I rewrote:

$8 x + y = 12$

So we get:

$y = 12 - 8 x$

Then we take that and put it into the other equation so we get:

$7 x - 5 \left(12 - 8 x\right) = - 4$

Which is:

$7 x - 60 + 40 x = - 4$

Simplified:

$7 x + 40 x = 56$

$47 x = 56$

$x = \frac{56}{47}$