How do I write:
y=(2x+3)/(x-1)
in terms of x?
Hello hynseeker,
$\displaystyle y=\frac{2x+3}{x-1}$
Multiply both sides by (x - 1)
$\displaystyle y(x-1)=2x+3$
Distribute:
$\displaystyle xy-y=2x+3$
Put x terms together on the LHS:
$\displaystyle xy-2x=y+3$
Factor out x:
$\displaystyle x(y-2)=y+3$
Divide:
$\displaystyle x=\frac{y+3}{y-2}$