Question

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

$\left(-3,-22\right)$

Short answer

The ordered pair $\left(-3,-22\right)$ is a solution for the given equation.

Step-by-step solution

Step 1. Given Information

The given equation is $y=5x-7$.

Step 2. Calculation.

To check whether the ordered pair $\left(-3,-22\right)$is a solution forthe given equationor not, we will substitute coordinates of point $\left(-3,-22\right)$in our given equation as shown below:

$\begin{array}{l}y=5x-7\left(\text{Givenequation}\right)\\ -22=5(-3)-7\left(\text{Substituting}x=-3\text{and}y=-22\right)\\ -22=-15-7\\ -22=-22\end{array}$

Since both sides of equation are equal.

Step 3. Conclusion.

The ordered pair $\left(-3,-22\right)$ is a solution for the given equation.