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

Answer:

B.

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

Step-by-step 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