Question

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

$\left(4,-12\right)$

Short answer

The ordered pair $\left(4,-12\right)$ is not 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 $\left(4,-12\right)$ is a solution for the given equation or not, we will substitute coordinates of point $\left(4,-12\right)$ in our given equation as shown below:

$\begin{array}{c}3x+2y=-8\left(\text{Givenequation}\right)\\ 3\left(4\right)+2\left(-12\right)=-8\left(\text{Substituting}x=4\text{and}y=-12\right)\\ 12-24=-8\\ -12\ne -8\end{array}$

Step 3. Conclusion.

Since both sides of equation are not equal, therefore, the ordered pair $\left(4,-12\right)$ is not a solution for the given equation.