Question

Which of the following is solution set of 4x = y and 2x2 − 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

4x = y
2x^2 - y = 0
2x^2 - 4x = 0
2x(x - 2) = 0
2x = 0 or x - 2 = 0
x = 0 or x = 2

y = 4(0) or y = 4(2)
y = 0 or y = 8

Therefore, solution set is {(0, 0), (2, 8)}