Question 592763: What is the solution set of the equation?
3x-9 -3x
----- = ----
x-3 2
When I worked this problem out, I got {-3, 2}
But the answer is {-2} I don't understand how they got that.
My work:
3x-9 *(2) = -3x * x-3
---- -----
x-3 2
6x -18 -3x^2 +9x
------- = -----------
(x-3)(2) (2)(x-3)
(Subtract 6x -18 to get it on one side.)
-3x^2 +9x -6x -18
----------------- SIGN ERROR S/B +18
(x-3)(2)
Combine like terms
-3x^2 +3x -18
---------------
(x-3)(2)
(Factor)
(-3)(-18) =54
-3x^2 -6x +9x-18
----------------
(x-3)(2)
3x(x-2) 9(x-2)
(3x+9)(x-2)
3x+9=0
-9 -9
3x=-9
/3 /3
x=-3
x-2=0
+2
x=2
I really don't understand how to solve this.
Answer by solver91311(24713)   (Show Source):
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