Question

(ax/x)=b
solve for x

Answer 1

\[\frac{ ax }{ x }=b\]

Answer 2

cancel out the common factor x,\[\large\rm \frac{a\cancel{x}}{\cancel{x}}=b\]Which leads to \(\large\rm a=b\).

Answer 3

Note that x can not equal 0 because we have one in the denominator.

But what happens is...
Since all of our x's fell out of the equation,
Every other x value will satisfy this equation when a and b are the same.

Answer 4

so x can be any number?

Answer 5

Any number `except 0`

Answer 6

And that's only when a=b.
Otherwise, no solutions exist when a and b are different numbers.

Answer 7

Kind of a tricky question, lot of stipulations :)