Show that if AM=1 and MB=1, then A=B (thus A=B equal M-1)?

Answer 1

If AM = 1 and MB = 1, let's subract the equations; that is.

AM - MB = 1 - 1

Solving this, we get

AM - MB = 0

Now, factor M.

M(A - B) = 0

This means that M = 0 or A - B = 0

A - B = 0 implies A = B.

Answer 2

Given: AM=1
MB=1
Divide by M
A=1=B
A=B
Remainder M=1

Answer 3

The only things that can multiply together to get 1 are 1 and 1, so A, M, and B must be One. But this may be past my education level.