Which ordered pair is the solution to the system of equations below?

Question

6x-2y=-58

-6x+3y=69

 

A. (-5,10)

B. (-7,9)

C. (-8,12)

D. (-6,11)

Answer 1

6x-2y=-58

-6x+3y=69

add

y=11

we can stop here because there is only one answer where y=11, but...

6x-2(11)=-58

6x-22=-58

6x=22-58

6x=-36

x=-6

(-6,11) is the solution

D. is the answer