40. Find all solutions to the following sets of linear equations: a. 3x + 5y = 4 (mod 5) 2x + y = 3 (mod 5) b. 3x +2y = 5 (mod 7) 4x+6y= 4 (mod 7)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 56EQ
icon
Related questions
Question

solve only: 40.a , 40.b

 

 

40. Find all solutions to the following sets of linear equations:
a. 3x + 5y = 4 (mod 5)
2x + y = 3 (mod 5)
b. 3x + 2y = 5 (mod 7)
4x+6y= 4 (mod 7)
c. 7x + 3y= 3 (mod 7)
4x + 2y = 5 (mod 7)
d. 2x+3y=5 (mod 8)
x+6y=3 (mod 8)
Transcribed Image Text:40. Find all solutions to the following sets of linear equations: a. 3x + 5y = 4 (mod 5) 2x + y = 3 (mod 5) b. 3x + 2y = 5 (mod 7) 4x+6y= 4 (mod 7) c. 7x + 3y= 3 (mod 7) 4x + 2y = 5 (mod 7) d. 2x+3y=5 (mod 8) x+6y=3 (mod 8)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell