SOLUTION: Solve each equation. Show complete steps. u/5+u/10-u/6=1

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Question 626727: Solve each equation. Show complete steps. u/5+u/10-u/6=1
Found 2 solutions by Maths68, MathTherapy:
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
u%2F5%2Bu%2F10-u%2F6=1
Take LCD
%286u%2B3u-5u%29%2F30=1
%289u-5u%29%2F30=1
4u%2F30=1
cross%284%29u%2Fcross%2830%29=1
2u%2F15=1
Multiply by 15 both sides
15%282u%2F15%29=%281%29%2815%29
cross%2815%29%282u%2Fcross%2815%29%29=%281%29%2815%29
2u=15
Divide by 2 both sides
2u%2F2=15%2F2
cross%282%29u%2Fcross%282%29=15%2F2
u=15%2F2


Check
======
u%2F5%2Bu%2F10-u%2F6=1
Put
u=15%2F2
%28%2815%2F2%29%2F5%29%2B%28%2815%2F2%29%2F10%29-%28%2815%2F2%29%2F6%29=1
%2815%2F2%29%281%2F5%29%2B%2815%2F2%29%281%2F10%29-%2815%2F2%29%281%2F6%29=1

%283%2F2%29%2B%283%2F2%29%281%2F2%29-%285%2F2%29%281%2F2%29=1
3%2F2%2B3%2F4-5%2F4=1
3%2F2%2B3%2F4-5%2F4=1
Take LCD
%286%2B3-5%29%2F4=1
%289-5%29%2F4=1
4%2F4=1
cross%284%29%2Fcross%284%29=1
1=1

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Solve each equation. Show complete steps. u/5+u/10-u/6=1

u%2F5+%2B+u%2F10+-+u%2F6+=+1

6u + 3u - 5u = 30 ------- Multiplying equation by LCD, 30

4u = 30

u = 30%2F4, or highlight_green%287.5%29

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