Select the correct answer. What is the solution set of 4x = y and 2x^(2) -y=0 A. {(0.5, -0.5), (2, -8)} B. {(0, 0), (2, 8)} C. {(1.5, 2), (8, 2)} D. {(-1.5, -2), (2, 8)}

Question

Select the correct answer.

What is the solution set of 4x = y and
`2x^(2) -y=0`

A.
{(0.5, -0.5), (2, -8)}

B.
{(0, 0), (2, 8)}

C.
{(1.5, 2), (8, 2)}

D.
{(-1.5, -2), (2, 8)}

Answer 1

B.

{(0, 0), (2, 8)}

Explanation:

Substitute 4x in for y in the second equation.

`2x^(2) - 4x = 0\\`

2x(x - 2) = 0

x = 0 or x - 2 = 0

x = 2

Substitute x = 0 and x = 2 in the first equation to get the corresponding values for y

4(0) = y and 4(2) = y

y = 0 or y = 8

So, B is the correct answer