/*! 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 58 Simplify each algebraic expressi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 58

Simplify each algebraic expression. $$13 x+(-9 y)+(-17 x)+20 y$$

Short Answer

Expert verified
-4x + 11y

Step by step solution

01

Identify like terms

Here, like terms are those that contain same variables. So, 13x and -17x are like terms as they both contain 'x'. Similarly, -9y and 20y are like terms as they both contain 'y'.
02

Combine like terms

Add or subtract the coefficients (the numerical factors) of like terms. This gives us: (13x - 17x) + (-9y + 20y)
03

Simplify

Performing the operations, resulting in -4x + 11y

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

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. If \(a\) and \(b\) are negative numbers, then \(a-b\) is sometimes a negative number.

Identify the terms in each algebraic expression. $$-3 x-8 y$$

Find the value of each expression. $$-|-9-(-6)|-(-12)$$

The peak of Mount Kilimanjaro, the highest point in Africa, is \(19,321\) feet above sea level. Qattara Depression, Egypt, one of the lowest points in Africa, is 436 feet below sea level. What is the difference in elevation between the peak of Mount Kilimanjaro and the Qattara Depression?

Simplify each series of additions and subtractions. $$-0.16-5.2-(-0.87)$$
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

Applied Mathematics

Read Explanation

Statistics

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.