# algebra 2

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Nonlinear systems

Solve the system by elimination.
y=x^2+2
-4x-y=10

Solve the system using substitution.
y=-3x^2+x-2
y=-5x+3

• algebra 2 -

y=x^2+2
-4x-y=10

y=-3x^2+x-2
y=-5x+3

Both systems have no real roots.
If you graph the two curves, they do not intersect.

If you are interested in complex roots, eliminate y by comparison and solve for x. Substitute x into the equations to find y.

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