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What are the solutions to the nonlinear system of equations below? Check all that apply.

y=4x

x^2 +y^2 = 17

A(17,4)
B(17,-4)
C(-1,-4)
D(1,4)
E(-4,1)

F. (4,-1)

Verified Answer :

Panoyin

y = 4x
x² + y² = 17

    x² + y² = 17
x² + (4x)² = 17
x² + 16x² = 17
       17x² = 17
        17      17
           x² = ±1

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

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

(x, y) = (±1, ±4) = (1, 4) and (-1, -4)

The answer is equal to C and D.

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