Determine which of the following ordered pairs is a solution to the

equation 8 - 2y = 4x2
Option #1: (0,8)
Option #2: (-1, 2)
Option #3: (4, 0)
(1 point)
Option #_____
is a solution to the equation.

1 answer

To determine if an ordered pair is a solution to the equation, we substitute the values into the equation and see if it is true.

Let's substitute the values in each option:

Option #1: (0,8)
8 - 2(8) = 4(0)^2
8 - 16 = 0
-8 ≠ 0

Option #2: (-1, 2)
8 - 2(2) = 4(-1)^2
8 - 4 = 4
4 = 4

Option #3: (4, 0)
8 - 2(0) = 4(4)^2
8 - 0 = 64
8 ≠ 64

From the above calculations, we can see that only Option #2: (-1, 2) is a solution to the equation.