SOLUTION: The quotient of a number and 6, minus 5/3, is the quotient of the number and 2. Find the number.

Algebra ->  Equations -> SOLUTION: The quotient of a number and 6, minus 5/3, is the quotient of the number and 2. Find the number.      Log On


   

Question 320417: The quotient of a number and 6, minus 5/3, is the quotient of the number and 2. Find the number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The quotient of a number and 6, minus 5/3, is the quotient of the number and 2.
Find the number.
:
Let x = "a number"
:
x%2F6 - 5%2F3 = x%2F2
multiply equation by by 6
6*x%2F6 - 6*5%2F3 = 6*x%2F2
Cancel the denominators, results
x - 2(5) = 3x
-10 = 3x - x
-10 = 2x
x = %28-10%29%2F2
x = -5
:
:
Check in original problem
%28-5%29%2F6 - 5%2F3 = %28-5%29%2F2
%28-5%29%2F6 - 10%2F6 = %28-15%29%2F6