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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 2: Q2. (page 93)

Solve each equation. Check your solution.
$12 = - 7 f - 9$

Short Answer

Expert verified

The solution of the given equation $f = - 3$ .

Step by step solution

01

Step 1. Isolate the variable.

$\begin{array}{l} 12 = - 7 f - 9 \\ - 7 f = 12 + 9 \end{array}$

02

Step 2. Solve the equation.

$\begin{array}{l} - 7 f = 21 \\ f = \frac{21}{- 7} \\ f = - 3 \end{array}$

03

Step 3. Check the solution by putting the value of f into the given equation.

$\begin{array}{l} 12 = - 7 f - 9 \\ 12 = - 7 (- 3) - 9 \\ 12 = 21 - 9 \\ 12 = 12 \end{array}$

Hence proved.

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Most popular questions from this chapter

Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive integers with a sum of 21.

Solve each equation. Check your solution. (Lesson 2-3)

$\frac{1}{2} z + 7 = 16 - \frac{3}{5} z$

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