simultaneous equation 99x+101y=499;101x+99y=501
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99x+101y=499−−−(1)
101x+99y=501−−−(2)
Adding (1) and (2)
200x+200y=1000
∴ x+y=5−−−(3)
Subtracting (1) from (2)
2x−2y=2
∴ x−y=1−−−(4)
Adding (3) and (4)
2x=6 ∴
x=3
Putting x=3 in equation (4)
3−y=1
∴ y=2
∴ y=2,x=3
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