Question

For what value of `x` is `x/0 = 2/1` ?

Answer 1

The left hand side of this equation is undefined, regardless of the value of `x`, so there are no solutions.

Explanation:

In the context of algebra, division should be the same as multiplication by the multiplicative inverse, but `0` has no multiplicative inverse. So division by `0` is undefined.

If `0^(-1)` were defined then:

`1 = 0*0^(-1) = 0/0 = (0+0)/0 = 0/0 + 0/0 = 0*0^(-1)+0*0^(-1) = 1+1 = 2`