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.
We can determine which of the ordered pairs is a solution to the equation by substituting the values of x and y into the equation and checking if the equation is true.
Option #1: (0,8)
Substituting x=0 and y=8 into the equation, we get:
8 - 2(8) = 4(0)^2
8 - 16 = 0
This equation is not true, so option #1 is not a solution to the equation.
Option #2: (-1,2)
Substituting x=-1 and y=2 into the equation, we get:
8 - 2(2) = 4(-1)^2
8 - 4 = 4(1)
4 = 4
This equation is true, so option #2 is a solution to the equation.
Option #3: (4,0)
Substituting x=4 and y=0 into the equation, we get:
8 - 2(0) = 4(4)^2
8 - 0 = 4(16)
8 = 64
This equation is not true, so option #3 is not a solution to the equation.
Therefore, the solution is Option #2: (-1,2).