/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q35. Solve each equation. Check your ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q35. (page 100)

Solve each equation. Check your solution.

3.2k鈭�4.3=12.6k+14.5

Short Answer

Expert verified

The solution of the given equation is k=鈭�2.

Step by step solution

01

Step 1. Write the given equation.

The given equation is 鈥�3.2k鈭�4.3=12.6k+14.5鈥�.

02

Step 2. Solve the given equation.

Solving,

3.2k鈭�4.3=12.6k+14.5 (Given equation)

3.2k鈭�4.3鈭�12.6k=12.6k+14.5鈭�12.6k (Subtract 12.6kfrom both sides)

鈭�9.4k鈭�4.3=14.5 (Simplify)

鈭�9.4k鈭�4.3+4.3=14.5+4.3 (Add 4.3to both sides)

鈭�9.4k=18.8 (Simplify)

鈭�9.4k鈭�9.4=18.8鈭�9.4 (Divide both sides by 鈭�9.4)

k=鈭�2 (Simplify)

So, k=鈭�2is the solution of the given equation.

03

Step 3. Check the obtained solution.

Put k=鈭�2in the given equation 3.2k鈭�4.3=12.6k+14.5to get,

3.2鈭�2鈭�4.3=12.6鈭�2+14.5鈭�6.4鈭�4.3=鈭�25.2+14.5鈭�10.7=鈭�10.7

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a 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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

Solve each equation. Check your solution. (Lesson 2-3)

鈭�1=7+3c

Explain why the multiplication property of equality and the division property of equality can be considered the same property. Which one do you think is easier to use?

Translate the following sentence into a formula:

鈥淔our times 蟺times the radius squared is the surface area of a sphere鈥�.

Translate the following sentence into a formula:

鈥淭he density of an object is the quotient of its mass and its volume鈥�.

Translate the following equation into a sentence:

6d2鈭�7f=8d+f2
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Decision 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.