Question

If $7m-3=53$, what is the value of $11m+2$?

Short answer

The required value is 90.

Step-by-step solution

Step 1. Isolate the variable.

$\begin{array}{l}7m-3=53\\ 7m=53+3\\ 7m=56\end{array}$

Step 2. Solve for m.

$\begin{array}{l}m=\frac{56}{7}\\ m=8\end{array}$

Hence, the value of $m=8$.

Step 3. Put the value of m into the given expression.

Put $m=8$into $11m+2$.

$\begin{array}{c}11\left(8\right)+2=88+2\\ =90\end{array}$

The value of the expression is 90.