SOLUTION: I have been working on this problem and I still can't seem to get it. I was wondering if someone could help me? Please and Thank you!! I would deeply appreciate it. Solve each s

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Question 159148This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this problem and I still can't seem to get it. I was wondering if someone could help me? Please and Thank you!! I would deeply appreciate it.
Solve each system (hint: let x=1/u and y=1/v. Rewrite the system in terms of x and y and solve. Then use x and y to find u and v.)
6/u+5/v=1
3/u-10/v=3
 This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
6/u+5/v=1
3/u-10/v=3
6x+5y=1 multiply by 2 & add.
3x-10y=3
12x+10y=2
------------------
15x=5
x=5/15
x=1/3 answer.
6*1/3+5y=1
2+5y=1
5y=1-2
5y=-1
y=-1/5 answer.
1/3=1/u
u=3 answer.
1/v=-1/5
-v=5
v=-5 answer.
Proof:
3/3-10/-5=3
1+2=3
3=3