Question

Solve 99x + 101y = 499 , 101x + 99y = 501

Answer 1

consider 99x+101y=499_______(1)
            101x+99y=501 ________(2)
multiplying equation (1) by -101 we get
-9999x-10201y=-50,399_________(3)
multiplying equation (2) by 99
9999x+9801y=49,599___________(4)
adding (3) and (4) we get
-400y=-800
y=2
substituting y=2 in equation (1) we get
99x+202=499
99x=499-202
99x=297
x=297/99
x=3
check
99(3)+101(2)=297+202=499

Answer 2

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