Question

What is the solution of the system? Use elimination.

-12x - y = 6
17x + y = 4

A. (-30, 2)
B. (-2, 30)
C. (2, -30)
D. (30, -2)

Answer 1

C: (2, -30)

Explanation:

Answer 2

Note that if we add each side of the 2 equations, y will cancel out:

-12x-y+(17x+y)=6+4

5x=10

x=2


Substituting x=2 in either of the equations, we find the value of y.

Let's use the first equation:

-12x-y=6

-24-y=6

-y=24+6

-y=30, so y=-30.

Thus, the solution is (2, -30)

Answer: C