SOLUTION: how do you solve the problem Y+1 ______ Y-2 ______ Y+10 = Y+4

Algebra ->  Rational-functions -> SOLUTION: how do you solve the problem Y+1 ______ Y-2 ______ Y+10 = Y+4       Log On


   



Question 235363: how do you solve the problem
Y+1
______ Y-2
______
Y+10 = Y+4

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming the problem is:
%28%28y%2B1%29%29%2F%28%28y%2B10%29%29 = %28%28y-2%29%29%2F%28%28y%2B4%29%29
Cross multiply
:
(y+1)(y+4) = (y+10)(y-2)
FOIL
y^2 + 5y + 4 = y^2 + 8y - 20
:
Arrange the y's on the left
y^2 - y^2 + 5y - 8y = -20 - 4
:
-3y = -24
Which is
3y = 24
y = 24%2F3
y = 8
;
:
Check solution in original equation
%28%288%2B1%29%29%2F%28%288%2B10%29%29 = %28%288-2%29%29%2F%28%288%2B4%29%29
%28%289%29%29%2F%28%2818%29%29 = %28%286%29%29%2F%28%2812%29%29