solve the following system of equations

8x+9y= -19

-3x+7y= -24

x=
y=

You want to cancel one variable

Let's cancel the x's. 8 and 3 have a LCM, which is 24

3(8x + 9y= -19)= 24x + 27y= -57
8(-3x + 7y= -24)= -24x + 56y = -192
-------------------------------------
0 + 83y= -249
83y= -249
y= -3

Plug into the first equation to figure out what x is now.

8x + 9(-3)= -19
8x - 27= -19
8x= 8
x= 1