Question

Tell whether the ordered pair is a solution of $y=5x-7$.

$\left(0,-6\right)$

Short answer

The ordered pair $\left(0,-6\right)$ is not a solution for the given equation.

Step-by-step solution

Step 1. Given Information.

An equation: $y=5x-7$

Step 2. Calculation.

To check whether the ordered pair $\left(0,-6\right)$ is a solution for the given equation or not, we will substitute coordinates of point $\left(0,-6\right)$ in our given equation as shown below:

$\begin{array}{c}y=5x-7\left(\text{Givenequation}\right)\\ -6=5\left(0\right)-7\left(\text{Substituting}x=0\text{and}y=-6\right)\\ -6=0-7\\ -6\ne -7\end{array}$

Step 3. Conclusion.

Since both sides of equation are not equal, therefore, the ordered pair $\left(2,3\right)$ is not a solution for the given equation.