Question

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

$\left(2,3\right)$

Short answer

The ordered pair $\left(2,3\right)$ is 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 $\left(2,3\right)$ is a solution for the given equation or not, we will substitute coordinates of point $\left(2,3\right)$ in our given equation as shown below:

role="math" localid="1649516214914" $\begin{array}{c}y=5x-7\left(\text{Givenequation}\right)\\ 3=5\left(2\right)-7\left(\text{Substituting}x=2\text{and}y=3\right)\\ 3=10-7\\ 3=3\end{array}$

Step 3. Conclusion.

Since both sides of equation are equal, therefore, the ordered pair $\left(2,3\right)$ is a solution for the given equation.