Chapter 2: Q14. (page 86)

Evaluate the following equation and check the solution is correct or not:
$12 = \frac{x}{- 3}$

Short Answer

Expert verified

The solution of the equation $12 = \frac{x}{- 3}$ is $x = - 36$ .

Step by step solution

Step 1. Given information.

The given equation is $12 = \frac{x}{- 3}$ .

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

If an equation is true and the same number is added to each side of the equation, then the resulting equivalent equation is also true.

Step 3. Solve the equation.

The equation $12 = \frac{x}{- 3}$ can be solved below:

$12 = \frac{x}{- 3}$

Multiply both sides by $(- 3)$ ,

$12 = \frac{x}{- 3} 12 \times (- 3) = \frac{x}{- 3} \times (- 3) - 36 = x$

So,

$x = - 36$

Step 4. Check the solution.

Take the equation $12 = \frac{x}{- 3}$ .

Substitute $x = - 36$ on the right-hand side of the equation.

$12 = \frac{x}{- 3} 12 = \frac{- 36}{- 3} 12 = 12$

This shows that, $x = - 36$ is the solution of the given equation.

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.

Evaluate the following equation and check the solution is correct or not:
$12 = \frac{x}{- 3}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the equation.

Step 4. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Statistics

Applied Mathematics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the following equation and check the solution is correct or not:12=x−3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the equation.

Step 4. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Statistics

Applied Mathematics

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Evaluate the following equation and check the solution is correct or not:
$12 = \frac{x}{- 3}$