Question

Solve the equations by elimination.
-7x-8y=9
-4x+9y=-22

Answer 1

Solve for x in -7x - 8y = 9

x = -9 + 8y/7

Substitute x = -9 + 8y/7 into -4x + 9y = -22

4(9 + 8y)/7 + 9y = -22

Solve for y in 4(9 + 8y)/7 + 9y = -22

y = -2

Substitute y = -2 into x = -9 + 8y/7

x = 1

Thus,

x = 1

y = -2