SOLUTION: solve for the variable in each equation below. show all your work. provide a check for each answer. if a solution is undefined, state that in your answer. x-2/x+1=x+1/x-2

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: solve for the variable in each equation below. show all your work. provide a check for each answer. if a solution is undefined, state that in your answer. x-2/x+1=x+1/x-2      Log On


   

Question 208309This question is from textbook algebra 1 an integrated approach
: solve for the variable in each equation below. show all your work. provide a check for each answer. if a solution is undefined, state that in your answer.
x-2/x+1=x+1/x-2 This question is from textbook algebra 1 an integrated approach

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
%28%28x-2%29%29%2F%28%28x%2B1%29%29 = %28%28x%2B1%29%29%2F%28%28x-2%29%29
cross multiply, results
(x-2)*(x-2) = (x+1)*(x+1)
FOIL
x^2 - 4x + 4 = x^2 + 2x + 1
Combine the x's on the left, numbers on the right
x^2 - x^2 - 4x - 2x = 1 - 4
-6x = -3
x = +3%2F6
x = +.5
;
:
Check solution in original equation:
%28%28.5-2%29%29%2F%28%28.5%2B1%29%29 = %28%28.5%2B1%29%29%2F%28%28.5-2%29%29