The solution of $7x≡3(mod\, 5) $ i

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Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

The solution of $7x≡3(mod\, 5) $ is :

Options:

$x≡5(mod\, 5)$

$x≡4(mod\, 5)$

$x≡1(mod\, 5)$

$x≡2(mod\, 5)$

Correct Answer:

$x≡4(mod\, 5)$

Explanation:

The correct answer is Option (2) → $x≡4(mod\, 5)$

Given,

$⇒7x≡3(mod\, 5)$

$⇒2x≡3(mod\, 5)$

$⇒2x×3≡3×3(mod\, 5)$

$⇒6x≡9(mod\, 5)$

$⇒x≡4(mod\, 5)$