SOLUTION: I need help with solving the system of equations algebraically. The problem is : y=2x^2 y= x+3

Question 29299: I need help with solving the system of equations algebraically. The problem is : y=2x^2
y= x+3
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Try this:
and Since y = y you can write:
Simplify.
Solve this quadratic by factoring.
Apply the zero products principle.
and/or
If then and
If then
We have found the x-coordinates of the solutions. To find the y-coordinates, substitute the x-values into either of the original equations and solve for y.
Substitute into

Substitute into

The solutions are:
(3/2, 9/2) and (-1, 2)
Why are there two solutions? Because you have a parabola transversed by a line
Here's a graph showing the two intersections/solutions.

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