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.
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.
To determine which of the given ordered pairs is a solution to the equation 8 - 2y = 4x^2, we need to substitute the values of x and y into the equation and check if it satisfies the equation.
Let's test each option:
Option #1: (0,8)
Substituting x = 0 and y = 8 into the equation:
8 - 2(8) = 4(0)^2
8 - 16 = 4(0)
-8 = 0
The equation is not satisfied, so (0,8) is not a solution.
Option #2: (-1,2)
Substituting x = -1 and y = 2 into the equation:
8 - 2(2) = 4(-1)^2
8 - 4 = 4(1)
4 = 4
The equation is satisfied, so (2,-1) is a solution.
Option #3: (4, 0)
Substituting x = 4 and y = 0 into the equation:
8 - 2(0) = 4(4)^2
8 - 0 = 4(16)
8 = 64
The equation is not satisfied, so (4,0) is not a solution.
Thus, option #2, which is (-1, 2), is a solution to the equation 8 - 2y = 4x^2.
To determine which of the given ordered pairs is a solution to the equation 8 - 2y = 4x^2, we need to substitute the values of x and y from each option into the equation and see if both sides of the equation are equal.
Let's evaluate each option one by one:
Option #1: (0, 8)
Substituting x = 0 and y = 8 into the equation:
8 - 2(8) = 4(0)^2
8 - 16 = 4(0)
-8 = 0
Since -8 is not equal to 0, this option is not a solution to the equation.
Option #2: (-1, 2)
Substituting x = -1 and y = 2 into the equation:
8 - 2(2) = 4(-1)^2
8 - 4 = 4(1)
4 = 4
Since 4 is equal to 4, this option is a solution to the equation.
Option #3: (4, 0)
Substituting x = 4 and y = 0 into the equation:
8 - 2(0) = 4(4)^2
8 - 0 = 4(16)
8 = 64
Since 8 is not equal to 64, this option is not a solution to the equation.
So, the option that is a solution to the equation is Option #2: (-1, 2).