Exercise
Suppose that a and b are relatively prime. Which of the following assertions holds?
For each integer z we can find x and y such that
For each integer z we can find x and y such that
For each integer x we can find a y such that
Indeed, first find x and y such that 1 = xa + yb and multiply the equation by z.
No, take a= 2 and b = z = 3.
No, take a = 2 and b= x = 3.