Chapter 4: Q81. (page 174)

Write the verbal sentence as an equation and also solve this
“Eight plus a number is equal to -3times the number”

Short Answer

Expert verified

The equation is 8+x=-3x and the solution is x=-2.

Step by step solution

Step 1 . Apply the concept of linear equation

In this, simply use the concept of making a linear equation by understand the statement carefully and then solve it by doing various mathematical operations.

Step 2 . Find the equation

Here, the statement is : Eight plus a number is equal to -3 times the number.

Since,

Let the number be x.

8 plus the number - $8 + x$ . It is equal to -3 times the number, hence multiply-3x .

So, the final equation becomes: $8 + x = - 3 x$ .

Step 3 . Solving the equation

The equation is $8 + x = - 3 x$ .

Simple make the variable and constant of the separate side and do mathematical operations,

$\begin{array}{l} 8 + x = - 3 x \\ x + 3 x = - 8 \\ 4 x = - 8 \\ x = - \frac{8}{4} \\ x = - 2 \end{array}$

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.

Write the verbal sentence as an equation and also solve this
“Eight plus a number is equal to -3times the number”

Short Answer

Step by step solution

Step 1 . Apply the concept of linear equation

Step 2 . Find the equation

Step 3 . Solving the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Pure Maths

Calculus

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Write the verbal sentence as an equation and also solve this“Eight plus a number is equal to -3times the number”

Short Answer

Step by step solution

Step 1 . Apply the concept of linear equation

Step 2 . Find the equation

Step 3 . Solving the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Pure Maths

Calculus

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Write the verbal sentence as an equation and also solve this
“Eight plus a number is equal to -3times the number”