Answer
(a) Nonlinear.
(b) $(1, -2)$ and $(\frac{5}{3}, 0)$
Work Step by Step
(a) The system is nonlinear because the first equation is a parabola.
(b) From the second equation, we get $6x=2y+10$, use it to replace the same term in equation 1 and we get
$2y+10+y^2=10$ or $y(y+2)=0$ which gives $y=-2, 0$ and thus $x=1, 5/3$. The solutions to the system are $(1, -2)$ and $(\frac{5}{3}, 0)$
