I have two equations that I want to solve but I can solve the first but not the second, here's an example: $\begin{align*} 100 &= 120 \times x\\ 0.83 &= 123/ x \end{align*}$
The first one I know how to solve, basically I am doing on both sides of the equation with the same inverse operation of the 120 which is division, In order to separate the variable.
But when I'am try to do the same method on the seconed equation (by multiply both sides of the equation with the same number 120 in this case, it doesn't work as I am expect). I can solve it by dividing the 120 by 0.83, but it isn't the same method as above.
The main thing for me here is to acquire some kind of method on how to solve this kind of equation, and I have learned to separate the variable by doing the inverse operation on both sides, so if you can please point me what I am doing wrong here? I am prefer to stay with the method above. Thanks.