Consider the System of Equations $4 x^{2}+y^{2}=20$ $-2 x+3 y=10$ (A) What Type of Graph Does Each Equation Have?
(B)

Essay

Consider the system of equations
$4 x^{2}+y^{2}=20$
$-2 x+3 y=10$
(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.