/*! 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} Q. 30 Solve each system of equations. ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 30 (page 714)

Solve each system of equations. If the system has no solution, say that it is inconsistent.

3x-y=79x-3y=21

Short Answer

Expert verified

The given system of equations has infinite number of solutions.

Step by step solution

01

Step 1. Given information.

The given equations are:

3x-y=79x-3y=21

02

Step 2. Determine one variable in terms of another variable.

The first equation can be written as:

3x-y=7-y=7-3xy=-(7-3x)y=3x-7

03

Step 3. Determine the value of one variable.

Substitute the above value in the second equation.

9x-3(3x-7)=219x-9x+21=2121=21

This statement is true for all real values. So, the given system of equations has infinite number of solutions.

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

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=4;y2-x=4

Verify that the values of the variables listed are solutions of the system of equations.

3x+3y+2z=4x-3y+z=105x-2y-3z=8x=2,y=-2,z=2;2,-2,2

Solve each system of equations. If the system has no solution, say that it is inconsistent.

5x-y=212x+3y=-12

Solve each system of equations. If the system has no solution, say that it is inconsistent.

x-y-z=12x+3y+z=23x+2y=0

The difference of two numbers is the same as their product, and the sum of their reciprocals is 5. Find the numbers.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Geometry

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.