Chapter 2: Q62. (page 124)

Solve each equation. Round to the nearest hundredth. Check your solution.
$5 n + 6 = - 4$

Short Answer

Expert verified

The solution is $n = - 2$

Step by step solution

Step 1. Apply the concept of addition/subtraction and multiplication/division of equality.

We can add or subtract same quantities on both sides of the equation for separating the variable on one side of the equation and the numbers on the other side.

We can multiply or divide by same quantities on both sides of the equation for separating the variable on one side of the equation and the numbers on the other side.

Step 2. Solve the equation.

Using concepts mentioned in step $- 1$ , we solve equation as shown:

$\begin{array}{l} 5 n + 6 = - 4 \\ 5 n = - 4 - 6 \\ 5 n = - 10 \\ n = \frac{- 10}{5} \\ n = - 2 \end{array}$

Thus the solution of the given equation is $n = - 2$

Step 3. Checking the solution.

We substitute the value of the variable into the given equation:

$\begin{array}{l} 5 n + 6 = - 4 \\ 5 (- 2) + 6 = - 4 \\ - 10 + 6 = - 4 \\ - 4 = - 4 \end{array}$

Since, the above equation is satisfied, the solution $n = - 2$ is verified.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve each equation. Round to the nearest hundredth. Check your solution.
$5 n + 6 = - 4$

Short Answer

Step by step solution

Step 1. Apply the concept of addition/subtraction and multiplication/division of equality.

Step 2. Solve the equation.

Step 3. Checking the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Calculus

Discrete Mathematics

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation. Round to the nearest hundredth. Check your solution.5n+6=−4

Short Answer

Step by step solution

Step 1. Apply the concept of addition/subtraction and multiplication/division of equality.

Step 2. Solve the equation.

Step 3. Checking the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Calculus

Discrete Mathematics

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation. Round to the nearest hundredth. Check your solution.
$5 n + 6 = - 4$