Question

Which of the following is a solution to the system of linear equations below?
2x=-3y-11
2y=6x-22

A. (2, 5)
B. (–2, 5)
C. (2, –5)
D. (–2, –5)

Answer 1

Its C.

If we substitute x=2 and y=-5 into C we get

2(2) = 4 and 15-11 = 4

2(-5) = -10 and 6(2) - 22 = -10

Answer 2

Hello!

First, let's solve the second equation for y.

2y=6x-22

Divide both sides by 2.

y=3x-11

Now we can plug this into the first equation to solve for x.

2x= -3(3x-11)-11

2x=-9x+33-11

2x=-9x+22

Subtract 9x from both sides.

-11x=22

Divide both sides by -11

x=-2

Now we plug this into the simplified version of the second equation.

y= 3(2)-11

y=6-11

y=-5

Therefore, our answer is D. (-2,-5)

I hope this helps!