solve for x and y:

Asked by  | 19th Jul, 2012, 05:58: PM

Expert Answer:

Answer : Given : (5/x) + 2y = (17/3) and (2/x) +3y = -(16/3)
To find : value of x and y
 
Let 1/x = p ..............(1)
 therefore the equation becomes
 
5p + 2y = (17 / 3)....................(2) 
2p +3y = - (16 / 3 )..................(3)
 
multiply 3 with eq (2) and 2 with eq (3), we get
=> 15 p +6y =17
    -( 4 p   +6y = -(32/3))
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      11 p          = 83/3
=> p = 83 / 33
 
Now putting the above value of p in eq (2), we get
5 ( 83/3)+ 2y = 17/3
y= - (76/22)
 
Since p=1/x
=> x= 1/p
=> x = 33/83
 
Answer : x = 33/83  and y =  -76/22         

Answered by  | 20th Jul, 2012, 01:33: PM

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