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)

Question

25-11-2016
Mathematics

contestada

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)

Respuesta :

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2016-11-25T19:08:34+01:00

MissPhiladelphia MissPhiladelphia

25-11-2016

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.

Answer Link

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)

Respuesta :

Otras preguntas

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)