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Q6.

Expert-verified
Found in: Page 410

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Tell whether the ordered pair is a solution of $y=5x-7$.$\left(-3,-22\right)$

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

See the 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 for the given equation or not, we will substitute coordinates of point $\left(-3,-22\right)$ in our given equation as shown below:

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

Since both sides of equation are equal.

## Step 3. Conclusion.

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

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