Hello everyone I'm practicing proofs and would like to know if I'm on the right track. Here's the problem:
Show that if x is a nonzero rational number, then there is a unique rational number y such that xy = 2
xy = 2
y = 2/x . . . solve for y
Since the equation is solved for y, this is the one and only value for y that makes the equation true. Further, since y is shown as a ration of 2 and x and x is a nonzero rational number, y is a rational number. Thus, y is a unique rational number.
Is this proof correct, or am I missing something?