/*! 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 327 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 327

In the following exercises, solve each equation. $$ 9 c=144 $$

Short Answer

Expert verified
The solution to the equation is \( c = 16 \).

Step by step solution

01

- Write down the equation

Start with the given equation: \[ 9c = 144 \]
02

- Isolate the variable

To solve for \( c \), divide both sides of the equation by 9: \[ \frac{9c}{9} = \frac{144}{9} \]
03

- Simplify the result

Simplify the right side of the equation: \[ c = 16 \]

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isolate the Variable
When solving linear equations, one of the key steps is to isolate the variable. This means getting the variable by itself on one side of the equation. In our example, the variable is \( c \).
To isolate \( c \), we need to remove the coefficient (the number next to the variable). In the equation \( 9c = 144 \), the coefficient is 9.
We can remove this by dividing both sides of the equation by 9. This gives us:
\[ \frac{9c}{9} = \frac{144}{9} \]
Once we divide, we're left with \( c = 16 \). Now, \( c \) is isolated, and we've solved the equation!
Simplify the Equation
Whenever you solve an equation, it's important to simplify the equation as much as possible.
Simplifying makes it easier to find the value of the variable and ensures that the equation is in its simplest form.
In our exercise, we started with the equation \( 9c = 144 \). By dividing both sides by 9, we not only isolated the variable but also simplified the right side of the equation.
This step resulted in:
\[ \frac{144}{9} = 16 \]
Simplifying the equation in this way helps to maintain clarity and accuracy in your solutions.
Basic Algebra
Basic algebra involves understanding and manipulating simple equations to find the value of unknown variables.
Linear equations like \( 9c = 144 \) are a fundamental part of algebra and often the first type of equation students learn to solve.
Key steps include writing down the equation, isolating the variable, and simplifying. By following these steps, you can solve numerous types of algebraic equations.
Remember:
  • Carefully perform each step, checking your work as you go.
  • Practice isolating the variable and simplifying, as these skills are crucial in more advanced math topics.
With regular practice, solving linear equations using basic algebra will become second nature!

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

In the following exercises, solve each equation using the Division Property of Equality. $$ -y=4 $$

In the following exercises, solve each equation by clearing the fractions. $$ \frac{2}{5} n-\frac{1}{10}=\frac{7}{10} $$

In the following exercises, solve each equation. $$ \frac{1}{4} p+\frac{1}{3}=\frac{1}{2} $$

In the following exercises, solve the equations with constants and variables on both sides. $$ 5 n-20=-7 n-80 $$

In the following exercises, solve each equation. $$ -18 m=-72 $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics 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.