Asked by Kay

x+2/x+3=x-1/x+1. Solve the following equation for x. The solution is ?
Thank you for your help have worked this problem and ones like this for hours can't get the right answer:)

Answers

Answered by Quidditch
x + 2/x + 3 = x - 1/x + 1
It's usually helpful to get rid of denominators, so multiply both sides by x
x^2 + 2 + 3x = x^2 - 1 + x
subtract x^2 from both sides
2 + 3x = -1 + x
collect like terms
2x = -3
So, x = ?

Answered by Reiny
Kay, can you see how important it is to use brackets to correctly show your equation.

Quidditch solved your equation correctly according to the way you typed it, but I have a suspicion that, since you worked on this "for hours", that you probably meant,
(x+2)/(x+3) = (x-1)/(x+1)

if so, then .... cross-multiply

(x+2)(x+1) = (x+3)(x-1)

take it from there, (Igot x = -5)
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