Question

What is the ordered pair that is the solution to these equations.
2x + 5y = -9
3x - 4y = -2

Answer 1

Multiply the first equation by 4 and the second by 5
8 x + 20 y = -36
15 x -20 y = -10
Add them up to find x, then find y.

Answer 2

When you add then up, you get
23 x = - 46 and hence x=-2
replace in the first equation and you get
-16 + 20 y = -36
20 y = -20
y=-1

Answer 3

The final answer is
x=-2 and y=-1