Question

solve the following system of equations for X and Y

Answer 1

Heya !!!


5/X - 1 + ( 1/Y-2) = 2 -------(1)




6/X-1 - (3/Y-2) = 1 -------(2)



Let 1/X-1 = U and 1/Y-2 = V and put these value in equation (1) and equation (2).




5U + V = 2 --------(3)


6U - 3V = 1 ----------(4)


From equation (3) we get,



5U = ( 2 - V )

U = ( 2 - V )/5 -------(5)



Putting the value of U in equation (4)



6U - 3V = 1


6 × ( 2 - V )/5 - 3V = 1



12 - 6V/5 - 3V = 1



12 - 6V - 15V = 5



-21V = 5-12


V = -7/-21 = 1/3



Putting the value of V in equation 5


U = 2-V/5 = 2 - 1/3 /5



U = 6-1/3
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U = 5/3/5 = 5/3 × 1/5 = 1/3



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1/X-1 = U



1/X - 1 = 1/3



X - 1 = 3


X = 4



And,


1/Y-2 = V



1/Y-2 = 1/3



Y - 2 = 3



Y = 5




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