SOLUTION: mixed practice 20- page 689 x+6 x --- = --- x+2 x-1

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Question 122408This question is from textbook algebra 1
: mixed practice 20- page 689
x+6 x
--- = ---
x+2 x-1 This question is from textbook algebra 1

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x+6 x
--- = ---
x+2 x-1
:
%28%28x%2B6%29%29%2F%28%28x%2B2%29%29 = x%2F%28%28x-1%29%29
:
Cross multiply
(x+6)(x-1) = x(x+2)
:
FOIL (x+6)(x-1)
x^2 + 5x - 6 = x^2 + 2x
:
Combine like terms on the left:
x^2 - x^2 + 5x - 2x - 6 = 0
3x - 6 = 0
3x = +6; added 6 to both sides
x = 6%2F3
x = +2
:
Check solution in original equation, substitute 2 for x
%28%28x%2B6%29%29%2F%28%28x%2B2%29%29 = x%2F%28%28x-1%29%29
%28%282%2B6%29%29%2F%28%282%2B2%29%29 = 2%2F%28%282-1%29%29
%28%288%29%29%2F%28%284%29%29 = 2%2F%28%281%29%29; proves our solution of x=2