Aim: How do we solve linear-quadratic systems of equation?

The way we solve linear-quadratic systems is by combing the two equations where both Y's are equal to each other.
Example:
  y=6x
  y=4x-8
You make these to equations equal to each other:
  6x=4x-8
Then you want to get the X's by itself to find what x equals. You do this by subtracting 4x on both sides.
  2x=-8
Then you divide 2 on both sides to get what X equals.
  x=-4
You then plug in what you got for X in either equations.
y=6(-4)
y=-24
That's your solution: (-4,-24)