Chapter 8.2, Problem 4C

To determine

To tell:

Whether the ordered pair $(10,-19)$ is a solution for the given equation.

Answer to Problem 4C

The ordered pair $(10,-19)$ isa solution for the given equation.

Explanation of Solution

Given:

An equation: $3x+2y=-8$

Calculation:

To check whether the ordered pair $(10,-19)$ is a solution for the given equation or not, we will substitute coordinates of point $(10,-19)$ in our given equation as shown below:

  $\begin{array}{l}3x+2y=-8\left(\text{Given equation}\right)\\ 3(10)+2(-19)=-8\left(\text{Substituting }x=10\text{ and }y=-19\right)\\ 30-38=-8\\ -8=-8\end{array}$

Since both sides of equation areequal, therefore, the ordered pair $(10,-19)$ isa solution for the given equation.