solve the congruence equation 6x ≡ 4 (mod 5) i need help please with some explanations


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Question Number 66815 by Rio Michael last updated on 20/Aug/19

$s o l v e t h e c o n g r u e n c e e q u a t i o n$ $6 x \equiv 4 (m o d 5) i n e e d h e l p p l e a s e w i t h s o m e e x p l a n a t i o n s$
Commented by mathmax by abdo last updated on 20/Aug/19

$i f w e c o n s i d e r c o n g r u e n c e m o d u l o 5 w e h a v e$ $Missing \left or extra \right$ $\bar{x} = - 1 [5] \Rightarrow x + 1 = 5 k \Rightarrow x = 5 k - 1 w i t h k \in Z .$
	Answered by Rasheed.Sindhi last updated on 20/Aug/19

	$6 x \equiv 4 + 4 \times 5 = 24 (m o d 5)$ $x \equiv 4 (m o d 5)$
	Answered by mr W last updated on 20/Aug/19

	$6 x = 5 n + 4 = 5 (n - 4) + 24$ $x = \frac{5 (n - 4)}{6} + 4$ $w i t h n - 4 = 6 m$ $\Rightarrow x = 5 m + 4$ $i . e . x \equiv 4 (m o d 5)$
	Commented by Rio Michael last updated on 20/Aug/19

	$i s t i l l {d o n}^{'} t u n d e s t a n d h o w t h e s e e q u a t i o n s a r e s o l v e d$
	Commented by mr W last updated on 21/Aug/19

	${d o n}^{'} t y o u u n d e r s t a n d w h a t$ $6 x \equiv 4 (m o d 5) m e a n s o r w h e r e i s y o u r$ $p r o b l e m ?$
	Commented by Rio Michael last updated on 21/Aug/19

	$i t h i n k s o s i r, b e c a u s e a m n e w t o t h i s f u r t h e r m a t h e m a t i c s s t u f f s$
	Commented by mr W last updated on 21/Aug/19

	$a \equiv b (m o d c) m e a n s$ $w h e n a a n d b a r e d i v i d e d b y c, t h e y$ $h a v e t h e s a m e r e m a i n d e r .$ $i n o t h e r w o r d :$ $a = n c + b$
	Commented by Rio Michael last updated on 25/Aug/19

	$t h a n k y o u s o m u c h s i r$
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