Ask a New Question
Menu

Is (−1, 5) a solution to the equation y=5x? How do you know?

No, because when you substitute −1 for x and 5 for y, the equation is NOT true.

Yes, because when you substitute 5 for x and −1 for y, the equation is true.

Yes, because when you substitute −1 for x and 5 for y, the equation is true.

No, because when you substitute 5 for x and −1 for y, the equation is NOT true.

1 answer

To determine if the point (−1, 5) is a solution to the equation \( y = 5x \), we substitute \( x = -1 \) and \( y = 5 \) into the equation.

  1. Substitute \( x = -1 \) into the equation \( y = 5x \): \[ y = 5(-1) = -5 \]

  2. Now, we check if the left side (which is the value of \( y \) given in the point) equals the right side: \[ 5 \neq -5 \]

Since substituting \( x = -1 \) results in \( y = -5 \) and not \( y = 5 \), the equation is NOT true.

Therefore, the correct answer is: No, because when you substitute −1 for x and 5 for y, the equation is NOT true.