Solve the following simultaneous equations:1/x+1/y= 12;3/x-2/y=1 – InterviewSolution

1.

Solve the following simultaneous equations:1/x+1/y= 12;3/x-2/y=1

Answer»

let 1/x = a and 1/y = bso Equation will be,a + b = 12 ......(1)3a - 2b = 1 ......(2)Eliminating b by 2×(1) + (2)2a + 2b = 243a - 2b = 1

5a = 25a = 5so, b = 12 - a = 12-5 = 7so x = 1/5 and y = 1/7

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