/*! 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. 31 In Problems 15 鈥� 42, solve eac... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 31 (page 739)

In Problems 15 鈥� 42, solve each system of equations using Cramer鈥檚 Rule if it is applicable. If Cramer鈥檚 Rule is not applicable, say so.

3x-5y=315x+5y=21

Short Answer

Expert verified

The solution of the system of equations3x-5y=315x+5y=21 is43,15.

Step by step solution

01

Step 1. Given information

The given system of equations is

3x-5y=315x+5y=21

02

Step 2. Determinant

The determinant D of the coefficients of the variables

D=3-5155=(3)(5)-(-5)(15)=15+75=90

D鈮�0, so Cramer's rule can be used to determine the solution of the system of equations

03

Step 3. Solution for x

According to Cramer's rulex=DxD

Determine Dx

Dx=3-5215Dx=(3)(5)-(-5)(21)Dx=15+105Dx=120

Then

x=DxDx=12090x=43

04

Step 4. Solution for y

According to Cramer's ruley=DyD

DetermineDy

Dy=331521Dy=(3)(21)-(3)(15)Dy=63-45Dy=18

Then

y=DyDy=1890y=15

So the solution of the system of equation is43,15

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

Solve each system of equations. If the system has no solution, say that it is inconsistent.
x+2y=-7x+y=-3

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

2x-3y-z=0-x+2y+z=53x-4y-z=1

Graph the equation:y+4=x2

The perimeter of a rectangular floor is 90 feet. Find the

dimensions of the floor if the length is twice the width.

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

x2+y2=10;y=x+2
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Probability and Statistics

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.