Question 345969: One sixth of a number minus one seventh of the same number is 1. What is the number?
So far I have 1/6x-1/7x=1 Found 3 solutions by Fombitz, haileytucki, rfer:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! 1=(1)/(6)*x-(1)/(7)*x
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
(1)/(6)*x-(1)/(7)*x=1
Multiply (1)/(6) by x to get (x)/(6).
(x)/(6)-(1)/(7)*x=1
Multiply -(1)/(7) by x to get -(x)/(7).
(x)/(6)-(x)/(7)=1
Find the LCD (least common denominator) of (x)/(6)-(x)/(7)+1.
Least common denominator: 42
Multiply each term in the equation by 42 in order to remove all the denominators from the equation.
(x)/(6)*42-(x)/(7)*42=1*42
Simplify the left-hand side of the equation by canceling the common factors.
x=1*42
Multiply 1 by 42 to get 42.
x=42
You can put this solution on YOUR website! keep going
7/42x-6/42x=1
1/42x=1
x=1/1*42/1
x=42
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1/6*42-1/7*42=1
42/6-42/7=1
294/42-252/42=42/42=1
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