find the integers x that satisfies a congruence 3x=4 (mod 11) .


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Question Number 214002 by RoseAli last updated on 24/Nov/24

$f i n d t h e i n t e g e r s x t h a t s a t i s f i e s a c o n g r u e n c e 3 x = 4 (m o d 11) .$
	Answered by Rasheed.Sindhi last updated on 24/Nov/24

	$3 x \equiv 4 (m o d 11)$ $3 x \equiv 4 + 11 (m o d 11)$ $3 x \equiv 15 (m o d 11)$ $\frac{3 x}{3} \equiv \frac{15}{3} (m o d 11)$ $x \equiv 5 (m o d 11)$ $x = 11 k + 5 f o r k \in Z$
	Answered by mehdee7396 last updated on 24/Nov/24

	$12 x \overset{11}{\equiv} 16 \overset{11}{\equiv} 5 \Rightarrow x \overset{11}{\equiv} 5 \Rightarrow x = 11 k + 5$
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