Question

Help Please

What is the solution of the system?


Use the elimination method.


-4x - 2y = -12

2x + 4y = -12


Enter your answers in the boxes

Answer 1

(x, y) = (6, -6)

Explanation:

Divide the first equation by 2 to get equal and opposite coefficients for x.

... -2x -y = -6

Add this to the second equation to eliminate x.

... (2x +4y) +(-2x -y) = (-12) +(-6)

... 3y = -18 . . . . . . . . simplify

... y = -6 . . . . . . . . . . divide by 3

Substitute this vaue into any of the equations to find x. We choose to use the reduced first equation above.

... -2x -(-6) = -6

... -2x = -12 . . . . subtract 6

... x = 6 . . . . . . . divide by -2

The solution to the system is (x, y) = (6, -6).