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Question
Solve the following systems of equations:
`15/u + 2/v = 17`
Solution
Let 1/u = x and 1/v = y then, the given system of equations become
`15x + 2y = 17 ....(ii)`
`x + y = 36/5` ....(ii)
From (i), we get
2y = 17 - 15x
`=> y = (17 - 15x )/2`
Substituting y = `(17 - 15x)/2` in equation (ii), we get
`x + (17 - 15x)/2 = 36/15`
`=> (2x + 17 - 15x)/2 = 36/5`
`=> (-13x + 17)/2= 36/5`
`=> 5(-13x + 17) = 36xx 2`
=> -65x + 85 = 72
=> -65 = -13
`=> 65x = (=13)/(-65) = 1/5`
Putting x = 1/5 in equation (ii), we get
`1/5 + y = 36/5`
`=> y = 36/5 - 1/5`
So, the solution off the given system of equation is u = 5, v = 1/7
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