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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)

Answer :

MissPhiladelphia
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.

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