/*! 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 42 What is a system of linear equat... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 42

What is a system of linear equations in three variables?

Short Answer

Expert verified
A system of linear equations in three variables is a set of two or more equations, each of the form \(Ax + By + Cz = D\), which are solved simultaneously.

Step by step solution

01

Definition of Linear Equation

First, need to know what a linear equation is. A linear equation is an equation of the form \(Ax + By + Cz = D\), where A, B, C, and D are constants and x, y, and z are variables.
02

Definition of a System of Equations

A system of equations is a set of two or more equations that we deal with at once. All the equations in the system are solved simultaneously.
03

Combining the Definitions

So a system of linear equations in three variables is a set of two or more linear equations, each involving the variables x, y, and z, dealt with at the same time.

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

write the partial fraction decomposition of each rational expression. $$ \frac{4 x^{2}-7 x-3}{x^{3}-x} $$

write the partial fraction decomposition of each rational expression. $$ \frac{3 x^{2}+49}{x(x+7)^{2}} $$

How do you determine whether a given ordered triple is a solution of a system in three variables?

Solve: $$\left\\{\begin{array}{r} A+B=3 \\ 2 A-2 B+C=17 \\ 4 A-2 C=14 \end{array}\right.$$

write the partial fraction decomposition of each rational expression. $$ \frac{1}{x(x-1)} $$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

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.