SOLUTION: ok i got 3 questions since there is a daily 4 questions per day. the slash "/" will indicate the fraction dash. *there is no textbook involve* 3x-6/2-x = 3/2 8/z-2 = z+2/

Algebra ->  Proportions  -> Lessons -> SOLUTION: ok i got 3 questions since there is a daily 4 questions per day. the slash "/" will indicate the fraction dash. *there is no textbook involve* 3x-6/2-x = 3/2 8/z-2 = z+2/      Log On


   

Question 180496: ok i got 3 questions since there is a daily 4 questions per day.
the slash "/" will indicate the fraction dash.
*there is no textbook involve*
3x-6/2-x = 3/2

8/z-2 = z+2/4


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283x-6%29%29%2F%28%282-x%29%29 = 3%2F2
Cross multiply
2(3x-6) = 3(2-x)
:
6x - 12 = 6 - 3x
:
6x + 3x = 6 + 12
;
9x = 18
x = 18%2F9
x = 2, however there is no solution, as x=2 causes division by 0
:
:
8%2F%28%28z-2%29%29 = %28%28z%2B2%29%29%2F4
Cross multiply
(z-2)*(z+2) = 8 * 4
:
FOIL
z^2 + 2z - 2z - 4 = 32
:
z^2 - 4 - 32 = 0
:
z^2 - 36 = 0
The difference of squares factors to:
(z-6)(x+6) = 0
z = +6
z = -6
:
:
Check solutions in original equation
z = 6
8%2F%28%286-2%29%29 = %28%286%2B2%29%29%2F4
8%2F4 = 8%2F4
:
z = -6
8%2F%28%28-6-2%29%29 = %28%28-6%2B2%29%29%2F4
8%2F%28-8%29 = %28-4%29%2F4
-1 = -1