Question

Tell whether the given value of the variable is a solution of the equation.

$x+11=3;x=-8$

Short answer

Yes, $x=-8$is a solution for the given equation.

Step-by-step solution

Step 1. Given Information.

An equation: $x+11=3$

Step 2. Calculation.

To check whether $x=-8$ is a solution for the given equation or not, we will substitute $x=-8$ in our given equation as shown below:

$\begin{array}{c}x+11=3\left(\text{Givenequation}\right)\\ -8+11=3\left(\text{Substituting}x=-8\right)\\ 3=3\end{array}$

Step 3. Conclusion.

Since both sides of equation are equal, therefore, $x=-8$ is a solution for the given equation.