SOLUTION: seven times the reciprocal of a number plus 2/3 is 3. Find the number

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Question 141033: seven times the reciprocal of a number plus 2/3 is 3. Find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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seven times the reciprocal of a number plus 2/3 is 3. Find the number
:
Let the number = x
:
7%2Fx + 2%2F3 = 3
:
multiply equation by 3x to get rid of the denominators
3(7) + 2x = 3(3x)
21 + 2x = 9x
21 = 9x - 2x
21 = 7x
x = 21%2F7
x = 3
:
:
check solution:
7%2F3 + 2%2F3 = 3