/*! 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 43 How do you determine whether a g... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 43

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

Short Answer

Expert verified
To determine whether a given ordered triple is a solution for a system of three variables, substitute the values from the ordered triple into the system of equations. If all equations hold true, it's a solution.

Step by step solution

01

Identify the ordered triple and system of equations

The first step in the process is to identify the ordered triple presented in the problem. An ordered triple would typically be in the format of (x, y, z). Additionally, identify and comprehend the system of equations that is going to be analyzed.
02

Substitute values from ordered triple into system of equations

In the second step, substitute the values from the ordered triple into the system of equations. That means, wherever a variable appears in the system of equations, replace it with the corresponding value from the ordered triple.
03

Verify if equations are true.

Next, after substituting the values into the equations, simplify each equation. If all simplified equations are valid (the left-hand side equals to right-hand side), then the given ordered triple is a solution to the system. If any of the equations don't hold true, then it isn't a solution.

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. $$ \frac{3 x+50}{(x-9)(x+2)} $$

Find the partial fraction decomposition for \(\frac{2}{x(x+2)}\) and use the result to find the following sum: $$ \frac{2}{1 \cdot 3}+\frac{2}{3 \cdot 5}+\frac{2}{5 \cdot 7}+\dots+\frac{2}{99 \cdot 101} $$

What kinds of problems are solved using the linear programming method?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I use the coordinates of each vertex from my graph representing the constraints to find the values that maximize or minimize an objective function.

write the partial fraction decomposition of each rational expression. $$ \frac{1}{x^{2}-a x-b x+a b} \quad(a \neq b) $$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

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.