Question

Given that 3(x-c)=2x+5 where c is an integer, shoe that x cannot be a multiple of 6

Answer 1

The explanation in the procedure

Explanation:

we have

`3(x-c)=2x+5`

solve for c

`3x-3c=2x+5`

`3c=3x-2x-5`

`3c=x-5`

`c=(x-5)/3`

For
`x=6` -----> Find the value of c

`c=(6-5)/3=1/3` ------> is not an integer

therefore

x cannot be a multiple of 6