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# Linear Congruences

Not what you're looking for?

Find the solutions of
(a) 4x is congruent to 3(mod 7)
(b) 9x is congruent to 11(mod 26)
(c) 3x + 1 is congruent to 4(mod 5)
(d) 8x is congruent to 6(mod 14).

##### Solution Summary

This solution is comprised of a detailed explanation for finding the solutions of linear congruences.

It contains step-by-step explanation for finding the solutions of
a) 4x is congruent to 3(mod 7)
(b) 9x is congruent to 11(mod 26)
(c) 3x + 1 is congruent to 4(mod 5)
(d) 8x is congruent to 6(mod 14).

##### Solution Preview

LINEAR CONGRUENCES ( Part I)

Written by :-Thokchom Sarojkumar Sinha

Find the solutions of
(a) 4x ≡ 3(mod 7)
(b) 9x ≡ 11(mod 26)
(c) 3x + 1 ≡ 4(mod 5)
(d) 8x ≡ 6(mod 14)

Solution :- 4x ≡ 3(mod 7)

(4,7) = 1

From We find
7 = 4.1 + 3 1 = 4 - 3.1
4 = 3.1 + 1 = 4 - (7 - ...

Solution provided by:
###### Education
• BSc, Manipur University
• MSc, Kanpur University
###### Recent Feedback
• "Thanks this really helped."
• "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
• "Very nice thank you"
• "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
• "You are awesome. Thank you"

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
The text passage contains a series of linear congruence problems and their solutions. It is structured as a set of questions (a) through (d) with corresponding solutions provided.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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# Linear Congruences

Not what you're looking for?

Find the solutions of
(a) 4x is congruent to 3(mod 7)
(b) 9x is congruent to 11(mod 26)
(c) 3x + 1 is congruent to 4(mod 5)
(d) 8x is congruent to 6(mod 14).

##### Solution Summary

This solution is comprised of a detailed explanation for finding the solutions of linear congruences.

It contains step-by-step explanation for finding the solutions of
a) 4x is congruent to 3(mod 7)
(b) 9x is congruent to 11(mod 26)
(c) 3x + 1 is congruent to 4(mod 5)
(d) 8x is congruent to 6(mod 14).

##### Solution Preview

LINEAR CONGRUENCES ( Part I)

Written by :-Thokchom Sarojkumar Sinha

Find the solutions of
(a) 4x ≡ 3(mod 7)
(b) 9x ≡ 11(mod 26)
(c) 3x + 1 ≡ 4(mod 5)
(d) 8x ≡ 6(mod 14)

Solution :- 4x ≡ 3(mod 7)

(4,7) = 1

From We find
7 = 4.1 + 3 1 = 4 - 3.1
4 = 3.1 + 1 = 4 - (7 - ...

Solution provided by:
###### Education
• BSc, Manipur University
• MSc, Kanpur University
###### Recent Feedback
• "Thanks this really helped."
• "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
• "Very nice thank you"
• "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
• "You are awesome. Thank you"

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
user
The text passage contains a series of linear congruence problems and their solutions. It is structured as a set of questions (a) through (d) with corresponding solutions provided.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS