A scientist claims that the equation y = 4x − 5 has a solution of (3,7). Is the scientist correct?

Responses

More information is needed to answer this question.
More information is needed to answer this question.

No, the scientist is wrong.
No, the scientist is wrong.

Yes, the scientist is correct.

1 answer

To determine if the equation \( y = 4x - 5 \) has the solution \( (3, 7) \), we can substitute \( x = 3 \) into the equation and see if we get \( y = 7 \).

Substituting \( x = 3 \):

\[ y = 4(3) - 5 \] \[ y = 12 - 5 \] \[ y = 7 \]

Since substituting \( x = 3 \) gives us \( y = 7 \), the point \( (3, 7) \) is indeed a solution of the equation \( y = 4x - 5 \).

Therefore, the answer is:

Yes, the scientist is correct.