Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q. 5MCQ (page 139)

Solve the equation. Check your solution.

a3+11=−5

Short Answer

Expert verified

The solution for the equation is a=−48
.

Step by step solution

01

Step 1. Apply the concept of Linear Equation

In this type of equation, simply use the tools of mathematical operations like addition, subtraction, multiplication or division to eliminate the numbers in the equation and also maintaining the equality by using the proper numbers and get the result.

02

Step 2. Find the value of a by solving the inequality

Since, the equation is a3+11=−5.

Here, to simplify this equation, subtract 11 to both side on the above

a3+11=−5a3+11−11=−5−11a3=−16a=3×−16a=−48

03

Step 3. Check the equation to verify the equality

Since, the solution is, a=−48and the equation is a3+11=−5.

So,

Puta=−48 in equation,

Left  Hand Side:=a3+11=−483+11=−16+11=−5=Right Hand Side

It holds the equation.

So, the solution a=−48correctly holds the 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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Driving A family is driving to Houston, Texas. A sign indicates that they are 700 miles from Houston. Their car’s trip odometer indicates that they are 400 miles from home. They are travelling at an average speed of 60 miles per hour.

  1. Write an expression for the distance (in miles) they will be from Houston in x hours.
  2. Write an expression for the distance (in miles) they will be from home in x hours.
  3. Use the expression from parts a and b to write and solve an equation to find the number of hours they will drive until they are exactly halfway between Houston and their home.
  4. Suppose they travel by local roads instead of highway. They travel the 700 miles at a speed of 45 miles per hour. How long will they drive before they are exactly halfway between Houston and their home?

Solve the inequality. Graph and check your solution.

-6s≤54

Plot the point in a coordinate plane. Describe the location of the point. (Lesson 1.8)

L(4,−4)

Plot the point in a coordinate plane. Describe the location of the point. (Lesson 1.8)

J(−3,8)

Solve the inequality. Graph and check your solution.

1≥x-9
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free