What is the solution to the system of equations?

2x+3y=-11y=x-2

y=x-2

A) - 1, -3)

B) (-1, 3)

C) (511, -311)

D) (-1, -1)

(-1, - 3)

Step-by-step explanation:

I have taken the liberty of rewriting your post:

2x+3y=-11y=x-2

y=x-2

as:

2x+3y = - 11

y=x-2

In the first equation, substitute x - 2 for y, obtaining:

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

Performing the indicated multiplication yields:

2x + 3x - 6 = - 11

Combining like terms yields:

5x = - 5

Solving for x: x = - 5/5 = - 1

Knowing that x = 1, we can now find y from the second equation:

y = (-1) - 2 = - 3

Then the solution is (-1, - 3).