Question

Salve x
96= x\7 (mod 5)​

Answer 1

$96 = \frac{x}{7} |5|$

We know that modulus of any number gives absolute value of that number, be it positive or negative

In other words |a| and |-a| both will give the same and positive value of a as output.

Hence, |5| = 5

So we can write it as,

$96 = \frac{x}{7} |5|$

$= > 96 = \frac{x}{7} \times 5$

$= > 96 = \frac{5x}{7}$

$= > \frac{96 \times 7}{5} = x$

$= > x = \frac{672}{5}$

Answer 2

Answer:

7

Step-by-step explanation:

96-x=5n for some integer n

672-x/7=5n

672-x=35n

672-x is a multiple of 35

therefore,the least value of x must be 7

i.e. 665 is a multiple of 35