Mathematical Proofs?

Some math to hurt your head. Actually, these "proofs" prove that mathematics is a modeling space, not the real world. Are these "answers", or are they just artifacts of our mathematical system?

Proof that 2 = 1

Proof that 2=1

a = b

a² = ab

a²-b² = ab-b²

(a+b) (a-b) = (a-b) b

a+b = b

2b = b

2 = 1

Proof that Pi = 3 (not 3.1415...)

x = (Pi+3)/2

2x = Pi +3

2x (Pi-3) = (Pi+3) (Pi-3)

2Pix-6x = Pi²-9

9-6x = Pi²-2Pix

9-6x+x² = Pi²-2Pix+x²

(3-x)² = (Pi-x)²

3-x = Pi-x

3 = Pi

Proof that -1 = 1

-1 = -1

-1/1 = -1/1

-1/1 = 1/-1

sqrt(-1/1) = sqrt(1/-1)

i/1 = 1/i

i*i = 1

-1 = 1