/*! 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} Q44 Find the value of the variable.2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q44 (page 10)

Find the value of the variable.

2d+5=3d鈭�2

Short Answer

Expert verified

The value of the variable is d=16.

Step by step solution

01

Step 1. Apply the distributive property of multiplication.

The formula of distributive property of multiplication is given by: xy+z=xy+xz. Apply this property to the equation 2d+5=3d鈭�2.

2d+5=3d鈭�22脳d+2脳5=3脳d鈭�3脳22d+10=3d鈭�6

02

Step 2. Subtract 2d.

To further simplify, subtract d from both sides of the equation 2d+10=3d鈭�6.

2d+10鈭�2d=3d鈭�6鈭�2d10=d鈭�6

03

Step 3. Add 6.

To find the value of variable d in the equation 10=d鈭�6, subtract 6 from both sides of the equation.

10+6=d鈭�6+616=d

04

Step 4. Verify the value.

In order to verify the value of d, substitute 16 for d into the equation 2d+5=3d鈭�2.

216+5=316鈭�2221=31442=42True

Hence, the value of the variable is d=16.

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

Classify the statement as true or false.

X, O, and Y are collinear.

The plane that contains the top of the box can be called plane ABCD.

Sketch and label the figures described. Use dashes for hidden parts.

Three vertical planes intersect in a line.

Does a plane have edges?

Name three lines that intersect at point E.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Geometry

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.