SOLUTION: Give 3 sets of points that satisfy the equations: 2x+2y=4 and y=x^2-4

Question 152559: Give 3 sets of points that satisfy the equations:
2x+2y=4 and y=x^2-4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Are you trying to solve this as a system? If you are, then there are two points that satisfy this system

Start with the first equation.

Plug in

Distribute

Get all terms to the left side.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

So the two solutions are (2,0) and (-3,5)
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