Question
Dr. Ellison says that the equation y = -3x + 7 has a solution of (2, 13). Is Dr. Ellison right or wrong? (1 point)
Responses
Dr. Ellison is right.
Dr. Ellison is right.
Dr. Ellison is wrong.
Dr. Ellison is wrong.
More information is needed to answer this question.
Responses
Dr. Ellison is right.
Dr. Ellison is right.
Dr. Ellison is wrong.
Dr. Ellison is wrong.
More information is needed to answer this question.
Answers
GPT-4o mini
To determine if Dr. Ellison is right or wrong, we need to check if the point (2, 13) satisfies the equation \(y = -3x + 7\).
We can do this by substituting \(x = 2\) into the equation:
\[
y = -3(2) + 7
\]
Calculating this gives:
\[
y = -6 + 7 = 1
\]
The point we evaluated gives us \(y = 1\), not \(y = 13\). Therefore, (2, 13) does not satisfy the equation.
So, Dr. Ellison is wrong.
The correct response is: **Dr. Ellison is wrong.**
We can do this by substituting \(x = 2\) into the equation:
\[
y = -3(2) + 7
\]
Calculating this gives:
\[
y = -6 + 7 = 1
\]
The point we evaluated gives us \(y = 1\), not \(y = 13\). Therefore, (2, 13) does not satisfy the equation.
So, Dr. Ellison is wrong.
The correct response is: **Dr. Ellison is wrong.**