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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 87)

Solve each equation. Check your solution.
$\frac{2}{3} n = 14$

Short Answer

Expert verified

The required solution is $n = 21$ .

Step by step solution

01

Step 1. Write the given information.

The given equation is: $\frac{2}{3} n = 14$

02

Step 2. Calculation.

Consider the given equation,

$\begin{array}{l} \frac{2}{3} n = 14 \\ n = 14 \times \frac{3}{2} \\ n = 21 \end{array}$

03

Step 3. Checking solution.

Substitute $n = 21$ in the given equation, we get

$\begin{array}{l} \frac{2}{3} n = 14 \\ \frac{2}{3} (21) = 14 \\ 14 = 14 \end{array}$

Hence, proved.

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