/*! 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} Q8.CT Solve the equation. Check your s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q8.CT (page 160)

Solve the equation. Check your solution.

-6(3x+15)=18

Short Answer

Expert verified

The solution for the equation is x=-6.

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 x by solving the inequality 

Since, the equation is -6(3x+15)=18.

Here, to simplify this equation, open the bracket, then add90 to both side on the above

鈭�6(3x+15)=18鈭�18x鈭�90=18鈭�18x鈭�90+90=18+90鈭�18x=108x=鈭�10818x=鈭�6
03

Step 3.Check the equation to verify the equality

Since, the solution is,x=-6and the equation is -6(3x+15)=18.

So,

Put x=-6in equation,

Left鈥夆赌�Hand鈥�Side:=鈭�6(3x+15)=鈭�6[3(鈭�6)+15]=鈭�6[鈭�18+15]=鈭�6(鈭�3)=18=Right鈥�Hand鈥�Side

It holds the equation.

So, the solution x=-6correctly 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.

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

The length of a rectangle is 5 feet less than twice its width. The perimeter of the rectangle is 38 feet. Let w represent the width. Write an equation for the perimeter of the rectangle in terms of w. Then solve the equation to find the length and width of the rectangle.

Toll Booth You lose your electronic tag that you use to pay tolls on the highway in your city. It costs you \(24 to replace the tag. The cost of one toll when you don鈥檛 use the tag is \)3. The cost of the same toll when you do use the tag is $1.50. How many times will you have to use the tag to pay for the tolls in order for the total cost to be same as not using the tag?

Write an equality to represent the situation. 鈥淭he greatest weight that a forklift can raise is 2500辫辞耻苍诲蝉鈥�.

Plot the point in a coordinate plane. Describe the location of the point.

K(8,鈭�3)

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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.