Consider the System of Equations $$\begin{aligned}3 x^{2}+4 y & =12 \\-9 x+2 y & =-18\end{aligned}$$

Essay

Consider the system of equations
$$\begin{aligned}3 x^{2}+4 y & =12 \\-9 x+2 y & =-18\end{aligned}$$
(a) What type of graph does each equation have?
(b) How many points of intersection are possible for these types of graphs?
(c) Solve the system.
(d) Support the solutions using a graphing calculator.