SOLUTION: step by step on how to solve a rational equation 1/5 + 1/x = 1/2

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Question 158516: step by step on how to solve a rational equation 1/5 + 1/x = 1/2
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F5+%2B+1%2Fx+=+1%2F2 --------------> working eqn
1%2Fx=1%2F2-1%2F5, combine similar terms
1%2Fx=%285-2%29%2F10, get LCD
1%2Fx=3%2F10, cross multiply
3x=10, divide 3 to isolate x:
cross%283%29x%2Fcross%283%29=10%2F3
x=10%2F3 or "3-1/3"
Check, go back working eqn:
1%2F5%2B%281%2F%2810%2F3%29%29=1%2F2
1%2F5%2B3%2F10=1%2F2
%282%2B3%29%2F10=1%2F2
5%2F10=1%2F2
1%2F2=1%2F2
thank you,
Jojo