How do I solve a system of equations algebraically with a substitution method and then write it as a coordinate point? y = 3x -17 and y = -2x + 8

To solve it using substitution, you need to plug in one of the equations for y on the other. Since they both equal y, that means the equations also equal each other.

It would be:

3x - 17 = -2x + 8

Then solve. First you can add 2x to both sides.

5x - 17 = 8

Add 17 to both sides

5x = 35

Divide both sides by 5.

x = 5

Since we now have x, we can find y by plugging in 5 for x in any of the equations. I will use y = -2x + 8

y = -2(5) + 8

y = -10 + 8

y = -2

We now have both x and y. As a coordinate point, it would be (5, -2).