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

Essay

Consider the system of equations
$3 x^{2}-4 y=12$
$-9 x+2 y=-18$
(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.