/*! 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 103 Solve \(|13 x-55|=0\).... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 103

Solve \(|13 x-55|=0\).

Short Answer

Expert verified
The solution is \( x = \frac{55}{13} \).

Step by step solution

01

Understand the Problem

Identify that the absolute value equation \(|13x - 55| = 0\) means that the expression inside the absolute value must be zero.
02

Set the Equation Inside to Zero

Set the inside of the absolute value equal to zero: \(13x - 55 = 0\).
03

Solve for x

Add 55 to both sides of the equation to isolate the term with x: \(13x = 55\). Then, divide both sides by 13: \(x = \frac{55}{13} \).
04

Simplify the Fraction

The fraction \( \frac{55}{13} \) is already in its simplest form, so \( x = \frac{55}{13} \).

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.

absolute value
Absolute value represents the distance of a number from zero on the number line regardless of direction. This means it is always non-negative.
solving linear equations
In solving linear equations, our goal is to find the variable that makes the equation true. For example, in the equation, \(13x - 55 = 0\), our aim is to find the value of \(x\).
isolation method
The isolation method involves manipulating an equation to isolate one variable by using techniques like addition, subtraction, multiplication, or division.
simplifying fractions
Simplifying fractions means expressing a fraction in its simplest form so that the numerator and denominator have no common factors other than 1. For instance, \( \frac{55}{13} \) is already simplified.

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

Make a table listing ordered pairs for each function. Then sketch the graph and state the domain and range. Identify any intervals on which \(f\) is increasing, decreasing, or constant. $$f(x)=-\sqrt{1-x^{2}}$$

Determine algebraically whether the function is even, odd, or neither. Discuss the symmetry of each function. $$f(x)=x^{3}-x$$

Determine algebraically whether the function is even, odd, or neither. Discuss the symmetry of each function. $$f(x)=\sqrt{x^{2}+3}$$

Use the minimum and maximum features of a graphing calculator to find the intervals on which each function is increasing or decreasing. Round approximate answers to two decimal places. $$y=x^{3}-3 x$$

Find and simplify the difference quotient for the function \(f(x)=1+\frac{3}{x}\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Mechanics Maths

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.