Question

Solve each system by elimination -4x+y=-10 6x-y=16

Answer 1

The y variable in both equations are opposites. So, we can add the two systems together to eliminate y and solve for x.

-4x + y = -10

6x - y = 16

2x = 6

2 × 3 = 6.

x = 3. Now we have to solve for y. Let's use 6x - y = 16.

6(3) - y = 16

18 - y = 16

18 - 2 = 16, so y = 2.

x = 3

y = 2.

Or if you have to put it in coordinate form: (3, 2)