# How do you solve the system of equations 2x + 5y = - 8 and 4+ y = - 12?

Dec 19, 2017

x=36 and y=-16

#### Explanation:

let ,$2 x + 5 y = - 8. \ldots \ldots \ldots \ldots \ldots \ldots \ldots \left(1\right)$

$4 + y = - 12. \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . \left(2\right)$

From the second equation we get,y=-12-4=-16.

Now substitute this value in (1) No. equation.

$2 x + 5 \left(- 16\right) = - 8$

or,$2 x - 80 = - 8$

$\mathmr{and} , 2 x = - 8 + 80$

$\mathmr{and} , 2 x = 72$

So,$x = 36$

Hence your answer is $y = - 16 \mathmr{and} x = 36$