Posted by **Trixie** on Tuesday, September 6, 2011 at 2:51pm.

How do you find the points of intersection, if any, of the equations:

x^2 + y^2 = 5

x - y = 1

- algebra 2 -
**MathMate**, Tuesday, September 6, 2011 at 4:37pm
You would solve for one of the unknowns using the linear equation (x-y=1 => x=y+1)

and substitute into the quadratic equation, and solve for the only unknown, y.

(y+1)^2+y^2=5

y^2+y-2=0

y=1 or -2

Now substitute y=1 or -2 into the linear equation to get the corresponding values of x. This will complete the solution of two intersection points.

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