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

Question

Quizplus · Accepted Answer

The Answer is (a) The first is the equation of an ellipse; the second is the equation of a line.
(b) 0,1 , or 2
(c)

(1,-3),(-2,0)

(d)

(a) The first is the equation of an ellipse; the second is the equation of a line. (b) 0,1 , or 2 (c) (1,-3),(-2,0) (d)

Consider the System of Equations 3x2+y2=123 x^{2}+y^{2}=123x2+y2=12 2x+2y=−42 x+2 y=-42x+2y=−4 (A) What Type of Graph Does Each Equation Have? (B)

Consider the System of Equations $3 x^{2}+y^{2}=12$ $2 x+2 y=-4$ (A) What Type of Graph Does Each Equation Have?
(B)