Question

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

Answer 1

Answer:

The explanation in the procedure

Step-by-step 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