Question

What is a solution for the system of equations
y=2x-15
and
y=x^2-6x?


thank you.

Answer 1

y=2x-15, y=x^2-6x? I assume you're trying to find a value that works for both equations?
If so, you first want to make them equal, as y variable is able to link them:
So,
2x-15=x^2-6x
subtract -2x from both sides, add 15 to both sides
0=x^2-8x+15
Solve using squares (if you are familiar with this)
0= (x-5)(x-3)
Thus, your answer set for both is (5) and (3)
If that helps :)

Answer 2

that was very helpful thank you!