Question

99x+101y=499;101x+99y=501​

Answer 1

Answer:

Step-by-step explanation:

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

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Putting x=3 in equation (4)

3−y=1  

∴ y=2

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∴ y=2,x=3