Question

Tell whether the ordered pair is a solution of $3x+2y=-8$.

$\left(10,-19\right)$

Short answer

The ordered pair $\left(10,-19\right)$ is a solution for the given equation.

Step-by-step solution

Step 1. Given Information.

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

Step 2. Calculation.

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

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

Step 3. Conclusion.

Since both sides of equation are equal, therefore, the ordered pair $\left(10,-19\right)$ is a solution for the given equation.