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Please Help Me Asap Will Give BRAINLIEST What are the solutions to the system of equations? {y = 1/4x^2 − 2 y = −1/2x} Graph the system of equations to solve. (0, 0) and (−4, 2) (2.9, 0) and (−2.9, 0) (−4, 2) and (2, −1) (0, 0) and (0, −2)

Respuesta :

Answer:

{y = 1/4x^2 − 2 y = −1/2x}

(0,0)

(-6,3)

Step-by-step explanation:

Rewrite as system of equations

y=-1/2x

1/4x^2-2y=-1/2x

Move expression to left and change its sign

y+1/2=0

1/4x^2-2y+1/2x=0

Multiply both sides of equation by 2

2y+x=0

1/4x^2-2y+1/2x=0

Sum the equation vertically and eliminate variable (2y)

3/2x+1/4x^2=0

Solve the equation

x=0

x=-6

Substitute the value of x into equation

y+1/2*0 = 0

y+1/2*(-6) = 0

Solve equation for y

y=0

y=3

so the solution is

(x1,y1)=(0,0)

(x2,y2)=(-6,3)

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