Question

A positive integer x on division by 7 leaves remainder 5.find the remainder when 4x+3is divided by 14

Answer 1

Answer:

x is 12

Step-by-step explanation:

=4x+3

=4(12)+3

=48+3

=51

51 is divided by 14 then remainder is 9

Answer 2

The remainder when 4x+3 is divided by 14 is 9

Step-by-step explanation:

Given that a positive integer x on division by 7 leaves remainder 5

It can be written as x=7+5 where 7 is the divisor and 5 is the remainder by division rule

Therefore x=12

To find the remainder when 4x+3 is divided by 14

$\frac{4x+3}{14}$

$=\frac{4(12)+3}{14}$

$=\frac{48+3}{14}$

$=\frac{51}{14}$

$\frac{4x+3}{14}=\frac{51}{14}$

When 51 is divided by 14 we have the remainder is 9

   __3______

14 ) 51

      42

  _(-)____

       9

_________

   Therefore the remainder when 4x+3 is divided by 14 is 9