SOLUTION: 13) Solve 2/(x � 3) = 4/(x + 3) + 8/(x2 � 9) 14) Solve 13/(y � 1) � 3 = 1/(y � 1) 15) Solve (x + 3)/(x �1) = (x + 2)/(x � 3) thanks thanks thanks!!!

Question 178231: 13) Solve 2/(x � 3) = 4/(x + 3) + 8/(x2 � 9)

14) Solve 13/(y � 1) � 3 = 1/(y � 1)

15) Solve (x + 3)/(x �1) = (x + 2)/(x � 3)

thanks thanks thanks!!!

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
13) Solve
= +
Note that the third denominator is the "difference of squares"; factors to:
= +
this is includes the other two denominators multiply equation by (x-3)(x+3)
2(x+3) = 4(x-3) + 8
:
2x + 6 = 4x - 12 + 8
:
2x + 6 = 4x - 4
:
2x - 4x = -4 - 6
:
-2x = -10
:
x = +5
:
always check solutions by substituting for the variable in the original equation
:
:
14) Solve
� 3 =
Multiply equation by (y-1), results:
13 - 3(y-1) = 1
:
13 - 3y + 3 = 1
;
-3y + 13 = 1
:
-3y = 1 - 13
:
-3y = -12
:
y = +4
:
:
15) Solve
=
Cross multiply and you have:
(x+3)*(x-3) = (x-1)*(x+2)
FOIL
x^2 - 9 = x^2 + x - 2
:
x^2 - x^2 - x = -2 + 9
:
-x = +7
which is
x = -7
:
: Be sure to check all these solutions in the original equation
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