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)
Option # __ is a solution to the equation.
We simply need to substitute the x and y values from each option into the equation and see if it holds true.
Substituting (0,8) into the equation:
8 - 2(8) = 4(0)²
8 - 16 = 4(0)
-8 = 0
This doesn't hold true, so (0,8) is not a solution to the equation.
Substituting (-1,2) into the equation:
8 - 2(2) = 4(-1)²
8 - 4 = 4(1)
4 = 4
This holds true, so (-1,2) is a solution to the equation.
Substituting (4,0) into the equation:
8 - 2(0) = 4(4)²
8 - 0 = 4(16)
8 = 64
This doesn't hold true, so (4,0) is not a solution to the equation.
Therefore, the solution is Option #2: (-1,2).