Answer
Both solutions are verified
(-2, 2) (4, 8)
Work Step by Step
Given the system of equations:
$2y - x^2 = 0$
$y - x = 4$
For this question, it asks to check the solutions of the system.
From question 1, the solutions determined are (-2, 2) and (4, 8)
Substitute the respective values into each equation.
(-2, 2)
$2(2) - (-2)^2 = 0$ True
$2 - (-2) = 4$ True
(4, 8)
$2(8) - (4)^2 = 0$ True
$8 - 4 = 4$ True
Thus both solutions are verified.