Chapter 1: Q27. (page 49)

Solve the equation and check the solution.
$7 + 5 n = - 58$

Short Answer

Expert verified

The solution is $n = - 13$ .

Step by step solution

Step 1- Consider the equation.

Consider the equation $7 + 5 n = - 58$ .

Add 58 on both sides of the equation.

Step 2- Step description.

$\begin{array}{l} 7 + 5 n = - 58 \\ 7 + 5 n + 58 = - 58 + 58 \\ 7 + 5 n + 58 = 0 \\ 5 n + 65 = 0 \end{array}$

Step 3- Step description.

Subtract $- 65$ from both sides of the equation as follows:

$\begin{array}{l} 5 n + 65 = 0 \\ 5 n + 65 - 65 = - 65 \\ 5 n = - 65 \end{array}$

Divide both sides of the equation by 5

$\begin{array}{l} 5 n = - 65 \\ n = - \frac{65}{5} \\ n = - 13 \end{array}$

Therefore, the solution is $n = - 13$ .

Step 4- Verify the solution.

Substitute $n = - 13$ in the equation and simplify as follows:

$\begin{array}{l} 7 + 5 n = - 58 \\ 7 + 5 (- 13) = - 58 \\ 7 - 65 = - 58 \\ - 58 = - 58 \end{array}$

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is $n = - 13$ .

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Solve the equation and check the solution.
$7 + 5 n = - 58$

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

Step 4- Verify the solution.

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Solve the equation and check the solution.7+5n=-58

Short Answer

Step by step solution

Step 1- Consider the equation.

Step 2- Step description.

Step 3- Step description.

Step 4- Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Geometry

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the equation and check the solution.
$7 + 5 n = - 58$