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

1 answer

To check 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 we get \( y = 7 \).

Starting with the equation: \[ y = 4x - 5 \]

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 to the equation \( y = 4x - 5 \).

Therefore, the scientist is correct.

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