Homework Help is Here – Start Your Trial Now!
Math
Algebra
6. Ryan is playing a number game with his little brother Andrew. Ryan said he was thinking of two numbers and wanted Andrew to figure out the two numbers. Ryan said that 2 times the smaller number plus 3 times the larger number is 45. Also, 3 times the smaller number plus 2 times the larger number is 40. Write a system of linear equations to represent this situation and then use matrices to solve for the value of the smaller number and the value of the larger number.

6. Ryan is playing a number game with his little brother Andrew. Ryan said he was thinking of two numbers and wanted Andrew to figure out the two numbers. Ryan said that 2 times the smaller number plus 3 times the larger number is 45. Also, 3 times the smaller number plus 2 times the larger number is 40. Write a system of linear equations to represent this situation and then use matrices to solve for the value of the smaller number and the value of the larger number.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
See similar textbooks
icon
Related questions
Question
100%
6. Ryan is playing a number game with his little brother Andrew. Ryan said he was thinking of two numbers. and wanted Andrew to figure out the two numbers. Ryan said that 2 times the smaller number plus 3 times the larger number is 45. Also, 3 times the smaller number plus 2 times the larger number is 40. Write a system of linear equations to represent this situation and then use matrices to solve for the value of the smaller number and the value of the larger number. real 52 A-stribute tot 2 bos bubs tot 32 sig smag 1900026 101 ambit 2012 bns
Transcribed Image Text:6. Ryan is playing a number game with his little brother Andrew. Ryan said he was thinking of two numbers. and wanted Andrew to figure out the two numbers. Ryan said that 2 times the smaller number plus 3 times the larger number is 45. Also, 3 times the smaller number plus 2 times the larger number is 40. Write a system of linear equations to represent this situation and then use matrices to solve for the value of the smaller number and the value of the larger number. real 52 A-stribute tot 2 bos bubs tot 32 sig smag 1900026 101 ambit 2012 bns
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
SEE MORE TEXTBOOKS