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  4. If 77 x ≡ 88 (mod 5), then x is equal to

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Q. If $77 x \equiv 88$ (mod $5$), then $x$ is equal to

ManipalManipal 2017

Solution:

Give that, $77 x \equiv 88$ (mod $5$)
$\Rightarrow 77 x-88$ is divisible by $5$.
$\therefore x=4$
[$\because 77 \times 4-88=308-88=220$ is divisible by $5$]