The correct option is B x≡ 4(mod 7) 3x≡ 5(mod 7) 3x 5≡ 0(mod 7) 7/(3x 5) 3x 5=7p , where p∈ Z x≡ 4(mod 7) ...

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Theorem

If 3x≡ 5mod...

Question

If $3 x \equiv 5 (m o d 7)$ , then.

x \equiv 2 (m o d 7)

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x \equiv 3 (m o d 7)

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x \equiv 4 (m o d 7)

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None of these

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Solution

The correct option is B $x \equiv 4 (m o d 7)$
$3 x \equiv 5 (m o d 7)$
$⟹ 3 x - 5 \equiv 0 (m o d 7)$
$⟹ 7 / (3 x - 5)$
$⟹ 3 x - 5 = 7 p$ , where $p \in Z$
$⟹ x \equiv 4 (m o d 7)$

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