Which of the following is a solution to the system of equations?

y = 3x-2

6 + y=-x

x=-1 y = - 5

Step-by-step explanation:

y = 3x-2

6 + y=-x

Substitute the first equation into the second equation

6 + y = -x

6 + (3x-2) = - x

Combine like terms

4 + 3x = - x

Subtract 3x from each side

4 + 3x - 3x = - x - 3x

4 = - 4x

Divide by - 4

4/-4 = - 4x/-4

-1 = x

Now we need to find y

y = 3x-2

y = 3 (-1) - 2

= - 3-2

= - 5

(-1, - 5)

Step-by-step explanation:

We can solve this system using substitution. y = 3x - 2, so replace "y" in the second equation with "3x - 2:"

6 + (3x - 2) = - x, or 6 + 3x - 2 = - x

Group like terms together: 3x + x = - 6 + 2.

Then 4x = - 4, and x = - 1.

Subst. - 1 for x in the first equation: y = 3 (-1) - 2, or y = - 5.

Then the solution is (-1, - 5).