What are the solutions that satisfy the nonlinear system of equations below? Select all answers that apply.
y=3x 3x^2+y^2=12

A. (-1, 3)
B. (10, -3)
C. (1, 3)
D. (-1, -3)
E. (-3, 1)
F. (3, -1)

Question

What are the solutions that satisfy the nonlinear system of equations below? Select all answers that apply.
         y=3x                3x^2+y^2=12


 		A.	(-1, 3)
 		B.	(10, -3)
 		C.	(1, 3)
 		D.	(-1, -3)
 		E.	(-3, 1)
 		F.	(3, -1)

bahrom7893 · Answer

y=3x, therefore
3x^2 + (3x)^2 = 12
3x^2+9x^2 = 12
12x^2 = 12
x^2 = 1

bahrom7893 · Answer

What possible values can x have?

anonymous · Answer

so that would be C. 1,3? is that all that could be applied

bahrom7893 · Answer

no x can also be -1, because (-1)^2 = 1

anonymous · Answer

im not sure what values x may have the question doesn't say anymore then what i posted up

bahrom7893 · Answer

Select all answers that apply.
x=-1, what's y?

anonymous · Answer

Oh okay so im looking at answers A and C,

anonymous · Answer

y is 3

anonymous · Answer

when $$x ^{2}=1$$
$$x={\pm}1$$
so y=3 when x=1 and y=-3 when x=-1

bahrom7893 · Answer

No
x=-1
y = 3x = 3*(-1) = -3

anonymous · Answer

so C and D are the answers

anonymous · Answer

thanks @aditya96 for clarifying that(: