Question

Solve by using multiplication with the addition-or-subtraction method.

2x + 5y = 16
5x - 3y = -22

Answer 1

x=-2, y=4

Explanation:

Given

2x + 5y = 16

5x - 3y = -22

Change equations

6x + 15y = 48 <-- Multiply equation by 3

25x - 15y = -110 <-- Multiply equation by 5

Use elimination

31x = -62

x = -2

Substitute x=-2 back into either original equation

2x + 5y = 16

2(-2) + 5y = 16

-4 + 5y = 16

5y = 20

y = 4