Thread: Help with nonlinear systems!

x^2+y^2=25
y-x=1

and

x^2+y^2=5
xy=2

please help

In both cases, solve the second equation for one variable in terms of the other, and then substitute into the first. For example, with:


we can solve the second for y:

and substituting into the first equation:





so x=3 or x=-4, and substituting into the second equation, we get y=4 or y=-3 respectively, so we have (3,4) and (-4,-3) as solutions.

The second can be solved similarly.

--Kevin C.

thanks twisted