ok i have this y = 1 / (x - 1)
answer is
x = 1 / y + 1 / 1
can someone explain in steps?
There are many ways to solve for x in something like this. (writing 1/1 is unnecessary AND unaesthetic)
One method:
$\displaystyle y = \frac {1}{x - 1}$ ..................multiply both sides by $\displaystyle x - 1$
$\displaystyle \Rightarrow (x - 1)y = 1$ ..........now divide both sides by $\displaystyle y$
$\displaystyle \Rightarrow x - 1 = \frac {1}{y}$ ..............now add 1 to both sides
$\displaystyle \Rightarrow x = \frac {1}{y} + 1$