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.