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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Solve 5x ≡ 4 (mod 6)

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Question

Solve 5x ≡ 4 (mod 6)

Sum
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Solution

5x ≡ 4 (mod 6)

5x – 4 = 6M for some integer n.

5x = 6n + 4

x = `(6"n" + 4)/5` where n = 1, 6, 11, …..

∴ x = 2, 8, 14, …

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Modular Arithmetic
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Chapter 2: Numbers and Sequences - Exercise 2.3 [Page 51]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 2 Numbers and Sequences
Exercise 2.3 | Q 3 | Page 51
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