What are the solutions to the nonlinear system of equations below?

Check all that apply.

y = 4x

x2 + y2 = 17

A. (-1, - 4)

B. (-4, 1)

C. (4, - 1)

D. (1, 4)

E. (17, - 4)

F. (17, 4)

Substitute y=4x to the second equation:

x^2 + (4x) ^2 = 17

x^2 + 16x^2 = 17

17x^2 = 17

x^2 = 17/17

x^2 = 1

x = 1 and - 1

When x=1, y=4 (1) = 4

When x=-1, y=4 (-1) = - 4

Thus the solutions would be (1,4) and (-1,-4). That would correspond to D. and A.