SOLUTION: Each of the following is a system of equations that is NOT linear. Each is linear in form because an appropriate substitution (say 'u' for 1/x and 'v' for 1/y) yields a linear syst

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Question 637127: Each of the following is a system of equations that is NOT linear. Each is linear in form because an appropriate substitution (say 'u' for 1/x and 'v' for 1/y) yields a linear system.
Solve for the new variable, and then solve for the original variable.
2/x + 1/y = 0
5/x + 2/y = -5
I would highly appreciate it if you could help.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

2/x + 1/y = 0

 5/x + 2/y = -5 

'u' = 1/x and 'v' = 1/y ****



2u + v = 0   |multiplying thru by -2 to  eliminate the v variable

5u + 2v = -5 

  u = -5   and v = 10 

 x = 1/-5   and v = 1/10

and...

  

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