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 More information is needed to answer this question. More information
Answers
GPT-4o mini
To determine if the point \((2, 13)\) is a solution to the equation \(y = -3x + 7\), we can substitute \(x = 2\) into the equation and see if it equals \(y = 13\).
Substituting \(x = 2\):
\[
y = -3(2) + 7
\]
\[
y = -6 + 7
\]
\[
y = 1
\]
The point \((2, 13)\) means \(x = 2\) and \(y = 13\). However, we found that when \(x = 2\), \(y\) equals 1, not 13.
Therefore, Dr. Ellison is wrong. The point \((2, 13)\) is not a solution to the equation \(y = -3x + 7\).
Substituting \(x = 2\):
\[
y = -3(2) + 7
\]
\[
y = -6 + 7
\]
\[
y = 1
\]
The point \((2, 13)\) means \(x = 2\) and \(y = 13\). However, we found that when \(x = 2\), \(y\) equals 1, not 13.
Therefore, Dr. Ellison is wrong. The point \((2, 13)\) is not a solution to the equation \(y = -3x + 7\).