Chapter 8: Q6. (page 400)

Solve the equation Check your solution.
$29 + 4 (f + 2) = - 7$

Short Answer

Expert verified

The solution of our given equation would be $f = - 11$ .

Step by step solution

Step 1. Given Information.

An equation: $29 + 4 (f + 2) = - 7$

Step 2. Calculation.

To solve our given equation, we use opposite operations as shown below:

\begin{matrix} 29 + 4 (f + 2) = - 7 (Givenequation) \\ 29 - 29 + 4 (f + 2) = - 7 - 29 (Subtracting29frombothsides) \\ 4 (f + 2) = - 36 \\ \frac{4 (f + 2)}{4} = \frac{- 36}{4} (Dividingbothsidesby4) \\ f + 2 = - 9 \\ f + 2 - 2 = - 9 - 2 (Subtracting2frombothsides) \\ f = - 11 \end{matrix}

Let us verify our answer by substituting $f = - 11$ in our original equation.

\begin{matrix} 29 + 4 (f + 2) = - 7 (Givenequation) \\ 29 + 4 (- 11 + 2) = - 7 (Substituting f = - 11) \\ 29 + 4 (- 9) = - 7 \\ 29 - 36 = - 7 \\ - 7 = - 7 \end{matrix}

Since both sides of equation are equal, therefore, $f = - 11$ is a solution of our given equation.

Step 3. Conclusion.

The solution of our given equation would be $f = - 11$ .

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Solve the equation Check your solution.
$29 + 4 (f + 2) = - 7$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Solve the equation Check your solution.29+4f+2=-7

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation Check your solution.
$29 + 4 (f + 2) = - 7$