SOLUTION: I need to prove: if a divides b then a divides bx for any integer x

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: I need to prove: if a divides b then a divides bx for any integer x      Log On


   

Question 425529: I need to prove:
if a divides b then a divides bx for any integer x
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We need to use the fact that if a,b are nonzero integers, then b%2Fa is an integer if and only if a|b. Since b%2Fa is an integer we can multiply by x and say that bx%2Fa is also an integer. This implies that a|bx.