Problem 100 $x+y-z$ for $x=-18, y=13$, a... [FREE SOLUTION]

91影视

Elementary Algebra

Jerome E. Kaufmann, Karen L. Schwitters

$Math Studyset 91影视 Explanations$ Math

9 Edition

Chapter 1: Problem 100

$x+y-z$ for $x=-18, y=13$, and $z=8$

Short Answer

Expert verified

The result is -13.

Step by step solution

Substitute Values

Substitute the given values for $x$, $y$, and $z$ into the expression $x+y-z$. The expression becomes $-18 + 13 - 8$.

Simplify the Expression

Perform the addition and subtraction from left to right. Start by adding $-18 + 13$ which equals $-5$.

Final Calculation

Now, subtract 8 from $-5$. This gives $-5 - 8 = -13$.

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.

Substitution

Substitution is a critical concept in elementary algebra. It involves replacing variables with their respective numeric values, allowing calculations to proceed without ambiguity. In the original exercise, we begin by substituting the given values for the variables into the expression.
Let's break it down:

The original expression is given as $x + y - z$.
The variable values provided are $x = -18$, $y = 13$, and $z = 8$.
By substituting these values, the expression becomes $-18 + 13 - 8$.

Substitution simplifies complex algebraic expressions into numerical ones, making it easier to perform arithmetic operations. It's like filling in the blanks before solving a puzzle!

Simplifying Expressions

Simplifying expressions is all about reducing them to their simplest form. This process makes calculations easier and results more understandable. Once the substitution is complete, the next step is to simplify the expression.
In our exercise, the simplified expression is $-18 + 13 - 8$. To do this:

Start with addition, which is done from left to right. Calculate $-18 + 13$ first.
This operation equals $-5$. Now, the expression is reduced to $-5 - 8$.

By systematically performing operations, you minimize the risk of errors and improve your efficiency in solving algebraic problems. Think of it as tidying up the expression鈥攐ne step at a time.

Arithmetic Operations

Arithmetic operations include addition, subtraction, multiplication, and division. They are fundamental to algebra and help in calculating final values once expressions are simplified.
In our exercise, after simplifying the expression, the focus shifts to arithmetic operations:

We previously simplified the expression to $-5 - 8$.
The operation here is subtraction. Calculating $-5 - 8$ results in $-13$.

Understanding how to properly apply these operations is crucial. They allow you to reach a final, correct solution. Arithmetic operations are simple yet powerful tools that can resolve complex problems when used effectively.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

\(x+y-z\) for \(x=-18, y=13\), and \(z=8\)

Short Answer

Step by step solution

Substitute Values

Simplify the Expression

Final Calculation

Key Concepts

Substitution

Simplifying Expressions

Arithmetic Operations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Logic and Functions

Pure Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.