Question

prove that no integers X and y exist for which 24x+12y=1​

Answer 1

Answer:

Invalid

Step-by-step explanation:

We prove it by contradiction.

We take there are two integers x and y exist for which 24x+12y=1.

Thus, x and y both belong to Z.

Dividing both sides by 12,

We get, 2x+y=1/12

2x and y are integers.

But 1/12 is not which is not possible as the sum of two integers is always an integer.

(ex: 2*-2+5*2=6)

Thus we come to a contradiction.

Implies, no integers X and y exist for which 24x+12y=1​