Easy problem... frustrated! - XP Math - Forums

 XP Math - Forums Easy problem... frustrated!

 06-13-2007 #1 YvesBenoit Guest   Posts: n/a Easy problem... frustrated! While trying to determine the inverse of (1) y = (1-2x) / (1+x), replace x with y and vice-versa. (2) This gives x = (1-2y) / (1+y) The goal is to isolate y in (2), a simple task... however I seem to have forgotten how to do such simple isolations. This part of the problem was skipped in my solutions manual. The final answer is y = (1-x) / (2+x) How would one go about solving for y from the original equation? Thank you for your time.
 06-13-2007 #2 Mr. Hui     Join Date: Mar 2005 Posts: 10,609 $x=\frac{1-2y}{1+y}$ Start $x+xy=1-2y$ Multiply $(1+y)$to both sides $xy+2y=1-x$ Add $2y$ and subtract $x$ to both sides $y(x+2)=1-x$ Factor out $y$ $y=\frac{1-x}{x+2}$ Divide $(x+2)$ to both sides __________________ Do Math and you can do Anything!
 06-13-2007 #3 Temperal Guest   Posts: n/a Ther would be excluded values of $x=-2$ and $y=-1$. There's others if you solve for some, but...
 06-14-2007 #4 YvesBenoit Guest   Posts: n/a Thank you... a little embarrassing how easy it was really

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