SOLUTION: Find the perimeter of a triangle if one side is 16 feet, another side is two-seventh the perimeter, and the third side is one-third the perimeter?

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Question 180990This question is from textbook College Algebra
: Find the perimeter of a triangle if one side is 16 feet, another side is two-seventh the perimeter, and the third side is one-third the perimeter? This question is from textbook College Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the perimeter of a triangle if one side is 16 feet, another side is two-seventh the perimeter, and the third side is one-third the perimeter?
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let p = the perimeter
:
p = 2%2F7p + 1%2F3 + 16
Multiply equation by a common multiple of 7 and 3
21(p) = 21*2%2F7p + 21*1%2F3 + 21(16)
Cancel the denominators, results:
21p = 3(2p) + 7(p) + 336
21p = 6p + 7p + 336
21p = 13p + 336
21p - 13p = 336
8p = 336
p = 336%2F8
p = 42 ft is the perimeter
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:
Check solution:
p = 2%2F7(42) + 1%2F3(42) + 16
p = 12 + 14 + 16
p = 42