Answer :

Rewriting the above equation as.

x + y = 5xy (i)


x - y = 9xy (ii)


In this problem, we will eliminate ‘y’ from both the equations.


Adding both the equations


2x = 14xy (cancelling x from both the sides)



Putting the value of y in equation(i)


x = 5xy - y or x = - 1/2


Hence the solution of the linear equation is x = and y = -1/2


Note: - Since we have cancelled x as it is common from both the sides, we have neglected a solution that is x = 0, similarly other solution as y = 0.


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