Question

Solve the system of equations.

Answer 1

`x=-2\\y=8`

Explanation:

`8x+5y=24\\y=-4x`

We already have y in terms of, so the easiest way to do is by plugging that value in the first equation.

`8x+5y=24\\8x+5(-4x)=24\\8x-20x=24\\-12x=24\\x=(24)/(-12) \\x=-2`

After having found the value of x, replace it in the second equation to find y.

`y=-4(-2)\\y=8`

Answer 2

Explanation:

use substitution method so it will now look like

8x + 5(-4x) = 24

8x + (-20x) = 24

-12x = 24 (divide both sides by 12)

-x = 2 (multiply both sides by negative 1)

x = -2

substitute to find y

y= -4(-2)

=8