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
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.