Question

Solve using substitution.

y = –8x − 10
y = –6x − 6

Answer 1

(-2,6)

Explanation:

Since both of the equations are equal to y, we can set these equations equal to each other. This means that the new equation using substitution is -8x-10=-6x-6.

• To solve, first, add 10 to both sides

-8x=-6x+4

• Next, add 6x to both sides

-2x=4

• Finally, divide both sides by -2

x=-2

This means that the x value is -2. Then, to find the y value, substitute -2 into the first equation (the second equation also works if you want to). So, the equation looks like y=-8(-2)-10. Solve this and it gives you y=6. Therefore, the final coordinate pair is (-2,6).