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.

No, because when you substitute 5 for x and −1 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.

1 answer

To determine whether \((-1, 5)\) is a solution to the equation \(y = 5x\), we can substitute \(-1\) for \(x\) and \(5\) for \(y\) and see if the equation holds true.

The equation is: \[ y = 5x \]

Substituting \(-1\) for \(x\): \[ y = 5 \cdot (-1) = -5 \]

We can see that when \(x = -1\), \(y\) should be \(-5\), not \(5\). Since \(5 \neq -5\), the equation is not satisfied.

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