Question

Use elimination to solve and match each system of equations to the correct solution.

5x+12y=-34
2x+4y=-12

Answer 1

x = -2 y= -2

Explanation:

5x+12y= -34

2x+ 4y = -12

2x= -4y -12

x= -2y -6

plug back in

5(-2y -6) +12y = -34

-10y -30 +12y = -34

2y = -4

y= -2

2x+4y=-12

4y= -2x -12

y= -.5x -3

plug back in

5x+ 12(-.5x-3)=-34

5x -6x -36 = -34

-x = 2

x= -2

Answer 2

Explanation:

5x + 12y = -34

-6x - 12y = 36

-x = 2

x = -2

5(-2) + 12y = -34

-10 + 12y = -34

12y = -24

y = -2

(-2, -2)