solve the following system of equation

Question

8x+9y=-19

-3x+7y=-24

Answer 1

a little multiplying yields

24x + 27y = -57
-24x + 56y = -192

Now add them, and the x's vanish, giving you y.
Then you can easily get x.

Answer 2

Multiply all parts of the first equation by 3 and all parts of the second equation by 8.

Add the two equations and solve for y.
You can then find x by putting in your y-value into one of the original equations.

Also, you should check the final answer in both equation.