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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 2: Q49. (page 95)

If $13 y + 25 = 64$ , what is the value of $4 y - 7$ ?

Short Answer

Expert verified

The required value is 5.

Step by step solution

01

Step 1. Isolate the variable.

$\begin{array}{l} 13 y + 25 = 64 \\ 13 y = 64 - 25 \\ 13 y = 39 \end{array}$

02

Step 2. Solve for y.

$\begin{array}{l} y = \frac{39}{13} \\ y = 3 \end{array}$

Hence, the value of $y = 3$ .

03

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

Put $y = 3$ into $4 y - 7$ .

$\begin{matrix} 4 (3) - 7 = 12 - 7 \\ = 5 \end{matrix}$

The value of the expression is 5.

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