Solve the following system using the elimination method:

Question

10x - 6y = -16
5x + 2y = 22

Answer 1

Add three times the second equation to the first to get:
(10+15)x=-16+66
25x = 50
x=2
Substitute x=2 into the second equation to get:
5(2)+2y=22
2y=22-10=12
y=6

Now substitute x=2 and y=6 into the first equation to check solution
10(2)-6(6)=-16 so solution is correct.