Question

Solve using substitution. y = -2x - 10 y = 2x + 2 ( _ , _ )

Answer 1

(-3, -4)

Step-by-step explanation:

The system of equations is:

y = -2x - 10

y = 2x + 2

So, we can replace y by (-2x - 10) on the second equation as follows:

y = 2x + 2

-2x - 10 = 2x + 2

Then, we can solve for x:

-2x - 10 = 2x + 2

-2x - 10 + 2x = 2x + 2 + 2x

-10 = 4x + 2

-10 - 2 = 4x + 2 - 2

-12 = 4x

-12/4 = 4x/4

-3 = x

Finally, we can replace x by -3 on the first equation and get:

y = -2x - 10

y = -2(-3) - 10

y = 6 - 10

y = -4

So, the solution is the ordered pair (x, y) = (-3, -4)