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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 2: Q48. (page 95)

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

Short Answer

Expert verified

The required value is 90.

Step by step solution

01

Step 1. Isolate the variable.

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

02

Step 2. Solve for m.

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

Hence, the value of $m = 8$ .

03

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

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

$\begin{matrix} 11 (8) + 2 = 88 + 2 \\ = 90 \end{matrix}$

The value of the expression is 90.

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