/*! 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} Problem 94 Determine whether each statement... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 94

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$2 x+5=5 x+2$$

Short Answer

Expert verified
The original statement is false. The true statement should specify the equation is only true for \(x = -1\).

Step by step solution

01

Simplify the equation

First, we can simplify by grouping the like terms together to get \(3 x = -3\)
02

Solve for \(x\)

Divide both sides of the equation by 3 to solve for \(x\): \(x = -1.\)
03

Verify the solution

Substitute the value of \(x\) back into the original equation to verify the result. Substituting \(x = -1\) into the original equation \(2x+5 = 5x + 2\) gives \(2*-1+5\) on the left side and \(5*-1+2\) on the right side. Both simplify to 3, so the equation holds true with \(x = -1\). However, initially we assumed that \(2x+5\) is equal to \(5x+2\) for all \(x\), which is not the case. Therefore, the original statement is false, and the true statement is \(2x + 5 = 5x + 2\) only when \(x = -1\).

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

Perform the indicated subtraction. $$9 \pi-7 \pi$$

Simplify each series of additions and subtractions. $$1-\frac{2}{3}-\left(-\frac{5}{6}\right)$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I found the variation in U.S. temperature by subtracting the record low temperature, a negative number, from the record high temperature, a positive number.

Simplify each series of additions and subtractions. $$-\frac{3}{4}-\frac{1}{4}-\left(-\frac{5}{8}\right)$$

Simplify each series of additions and subtractions. $$14-3-(-7)$$
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

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.