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

A. More information is needed to answer the question.
B. No, the scientist is wrong
C. Yes, the scientist is correct.

1 answer

To determine if the point (3, 7) is a solution to the equation \( y = 4x - 5 \), we can substitute \( x = 3 \) into the equation and see if \( y \) equals 7.

Starting with the equation:

\[ y = 4x - 5 \]

Substituting \( x = 3 \):

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

Since when \( x = 3 \), \( y \) equals 7, the point (3, 7) is indeed a solution to the equation.

Thus, the correct answer is:

C. Yes, the scientist is correct.