# Four equals to three

Algebra Level 2

Kimmie wants to prove that $$4=3$$.

She starts off with the equation $$a-b=c$$ which is equivalent to

$\large 4a-3a-4b+3b = 4c-3c$

She moved the variables to obtain $$4a-4b-4c = 3a-3b-3c$$ and factorized it to

$\large 4(a-b-c) = 3(a-b-c)$

Finally, she cancelled both sides to obtain $$4=3$$.

What is the error in Kimmie's work?

×