/*! 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 344 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 344

In the following exercises, solve. Solve the formula 9x + y = 13 for y.

Short Answer

Expert verified
y = 13 - 9x.

Step by step solution

01

- Identify the given equation

The equation provided is: 9x + y = 13.
02

- Isolate the variable y

To solve for y, we need to isolate it on one side of the equation. Subtract 9x from both sides of the equation: 9x + y - 9x = 13 - 9x.
03

- Simplify the equation

Simplify the equation by combining like terms. This gives: y = 13 - 9x.

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
To solve a linear equation, one of the most important steps is to isolate the variable you are solving for. In this problem, we need to find the value of y. This means we want y alone on one side of the equation.
Combine Like Terms
Combining like terms is essential when solving equations. In our equation 9x + y = 13, we notice that 9x is a term with x, whereas y is alone. Moving 9x to the other side requires us to do the opposite operation to balance the equation. We subtract 9x from both sides, giving us \[ 9x + y - 9x = 13 - 9x \] and leaving \[ y = 13 - 9x \]. Combining like terms simplifies the equation further.
Subtracting Expressions
Subtracting expressions helps move terms from one side of the equation to the other. In this problem, we applied subtraction to isolate the variable y. By subtracting 9x from both sides, we ensure that the equation remains balanced, which is a crucial rule in algebra. This operation helps us get the desired form, \[ y = 13 - 9x \], making it easier to extract the solution.

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 using the formula for distance, rate, and time. Gus rode his bike for 1\(\frac{1}{2}\) hours at 8 miles per hour. How far did he ride?

In the following exercises, use the formula \(A=\frac{1}{2} b h\) Solve for h: a when A = 48 and b = 8 b in general

In the following exercises, solve each number word problem. The sum of a number and three is forty-one. Find the number.

In the following exercises, solve. The area of a rectangle is 2356 square meters. The length is 38 meters. What is the width?

In the following exercises, solve each ticket or stamp word problem. A church luncheon made \(842. Adult tickets cost \)10 each and children鈥檚 tickets cost $6 each. The number of children was 12 more than twice the number of adults. How many of each ticket were sold?
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

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.