Question
Determine which of the following ordered pairs is a solution to the equation 8 - 2y = 4x ^ 2 Option #1: (0, 8) Option #2 (- 1, 2) Option #3: (4, 0) (1 point) Option # is a solution to the equation.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which ordered pair is a solution to the equation \( 8 - 2y = 4x^2 \), we will substitute each ordered pair into the equation and see if it holds true.
**Option #1: (0, 8)**
- Here, \( x = 0 \) and \( y = 8 \).
- Substitute into the equation:
\[
8 - 2(8) = 4(0)^2 \\
8 - 16 = 0 \\
-8 \neq 0 \text{ (not a solution)}
\]
**Option #2: (-1, 2)**
- Here, \( x = -1 \) and \( y = 2 \).
- Substitute into the equation:
\[
8 - 2(2) = 4(-1)^2 \\
8 - 4 = 4 \\
4 = 4 \text{ (is a solution)}
\]
**Option #3: (4, 0)**
- Here, \( x = 4 \) and \( y = 0 \).
- Substitute into the equation:
\[
8 - 2(0) = 4(4)^2 \\
8 - 0 = 4(16) \\
8 = 64 \text{ (not a solution)}
\]
Based on the calculations, the only ordered pair that is a solution to the equation \( 8 - 2y = 4x^2 \) is:
**Option #2: (-1, 2)**
**Option #1: (0, 8)**
- Here, \( x = 0 \) and \( y = 8 \).
- Substitute into the equation:
\[
8 - 2(8) = 4(0)^2 \\
8 - 16 = 0 \\
-8 \neq 0 \text{ (not a solution)}
\]
**Option #2: (-1, 2)**
- Here, \( x = -1 \) and \( y = 2 \).
- Substitute into the equation:
\[
8 - 2(2) = 4(-1)^2 \\
8 - 4 = 4 \\
4 = 4 \text{ (is a solution)}
\]
**Option #3: (4, 0)**
- Here, \( x = 4 \) and \( y = 0 \).
- Substitute into the equation:
\[
8 - 2(0) = 4(4)^2 \\
8 - 0 = 4(16) \\
8 = 64 \text{ (not a solution)}
\]
Based on the calculations, the only ordered pair that is a solution to the equation \( 8 - 2y = 4x^2 \) is:
**Option #2: (-1, 2)**
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.