# How do you solve 9x-4y = -59 and 4x+27 = y using substitution?

Aug 26, 2016

$x = - 7$ and $y = - 1$

#### Explanation:

We have the first equation as $9 x - 4 y = - 59$ and second equation $4 x + 27 = y$.

The second equation gives $y = 4 x + 27$ and substituting this value of $y$ in first we get

$9 x - 4 \left(4 x + 27\right) = - 59$ or

$9 x - 16 x - 108 = - 59$ or

$- 7 x = - 59 + 108 = 49$ or

$x = - 7$ and

y=4×(-7)+27=-28+27

or $y = - 1$