/*! 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 10 Solve and check each equation. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 10

Solve and check each equation. \(5 x=-25\)

Short Answer

Expert verified
The solution to the equation \(5x = -25\) is \(x = -5\).

Step by step solution

01

Identify the Equation

The equation is \(5x = -25\). In this equation, \(5x\) means \(5\) multiplied by \(x\), and the goal is to solve for \(x\).
02

Isolate the variable \(x\)

To isolate \(x\), divide both sides of the equation by \(5\). That's because \(5\) is multiplied by \(x\), and to undo multiplication, it's necessary to use division. So, the equation becomes \(x = -25 / 5\).
03

Solve for \(x\)

Now performing the division on the right side of equation, \(x = -5\). This is the solution for \(x\).
04

Check the Solution

Substitute the obtained value of \(x\), which is \(-5\), back into the original equation. So, the equation becomes \(5 * -5 = -25\), which simplifies to \(-25 = -25\). Since both sides of the equation are equal, that confirms the solution is correct.

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 the equations using the quadratic formula. \(x^{2}-3 x=18\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}+7 x+2\)

Solve the quadratic equations by factoring. \(x^{2}+5 x+6=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-x-2\)

Explain how to solve a quadratic equation by factoring. Use the equation \(x^{2}+6 x+8=0\) in your explanation.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Geometry

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.