3x 5 mod 11 2y 7 mod 11 If x and y are integers that satis

3x = 5 (mod 11)

2y = 7 (mod 11)

If x and y are integers that satisfy the congruences above, then x+y is congruent modulo 11 is which of the following?

The answer is: 7

Can anyone help me prove it?

Solution

Dear Student

Thank you for using chegg !!

As per given problema) 5 mod 11 leaves a remainder of 6.

Hence 3x = 6

X= 2

B) secondly 2y = 7mod 11

11 on division by 7 leaves a remainder of 4

Implies 2y = 4

Y= 2

X + y = 4

Now as per question if x+y mod 11 gives remainder as

4mod 11

= 7 answer

Hence solved