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Q14.

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 the equation.$x-2y=8;\left(-6,-7\right)$

The ordered pair $\left(-6,-7\right)$ is a solution for the given equation.

See the step by step solution

## Step 1. Given information.

The given equation is $x-2y=8$.

## Step 2. Calculation.

To check whether the ordered pair $\left(-6,-7\right)$ is a solution for the given equation or not, we will substitute coordinates of point $\left(-6,-7\right)$ in our given equation as shown below:

$\begin{array}{c}x-2y=8\left(\text{Given equation}\right)\\ -6-2\left(-7\right)=8\left(\text{Substituting}x=-6\text{and}y=-7\right)\\ -6+14=8\\ 8=8\end{array}$

Since both sides of equation are equal, therefore, the ordered pair $\left(-6,-7\right)$ is a solution for the given equation.

## Step 3. Conclusion.

The given point is the solution of the given equation.