/*! 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 264 Use Cramer鈥檚 Rule to Solve Sys... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q 264 (page 459)

Use Cramer鈥檚 Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer鈥檚 Rule.

2x+y=36x+3y=9

Short Answer

Expert verified

The system is consistent and dependent and having infinitely many solutions.

Step by step solution

01

Given system of linear equations are,

2x+y=36x+3y=9

The objective is, we need to solve this system by using the Cramer's rule.

02

Step 2 Find the determinant D by using the coefficients of the variables.

D=2163=23-16=6-6=0

Here we cannot solve this system by using the Cramer's rule. But by looking at the determinant Dx,Dy, we can determine whether the system is dependent or inconsistent.

03

Step 3 Find the determinant Dx by using the constants to replace the coefficients of x.

Dx=3193=33-19=9-9=0

04

Step 4 Find the determinant Dy by using the constants to replace the coefficients of y.

Dy=2369=29-36=18-18=0

Here all the determinants are zero.

So, the system is consistent and dependent and have infinitely many 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

A motor boat travels60miles down a river in three hours but takes five hours to return upstream. Find the rate of the boat in still water and the rate of the current.

Solve the system of equations by substitution

3x+4y=1y=-25x+2

The sum of two number is -16. One number is 20less than the other. Find the numbers.

Solve the systems of equations by substitution.

x-2y=-52x-3y=-4

Solve the system by graphing: y=12x-42x-4y=16
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Geometry

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.