Question

What is the solution to the system of equations?

5x - 3y = -9
2x - 5y = 4

(_,_)

THANKS!!

Answer 1

Multiply the 1st equation by 2 and the 2nd by 5 to get:
10x-6y= -18
10x-25y=20
subtract equation 2 from equation 1 and the x's cancel:
10x-6y= -18
10x-25y=20
19y= -38
y= -2
substitute y= -2 into either of the original equations to get x= -3
(-3, -2)