Solve ( Find x and y ) 99x + 101y = 499 and 101x + 99y = 501.
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Answer:
x = 3 , y = 2
Step-by-step explanation:
given eqn are
99x+101y = 499....(1)
101x+99y = 501.....(2)
adding the given equations
(99+101)x + (101+99)y = 499+501
=> 200(x+y) = 1000
=> x+y = 5...............(2)
substracting from given eqn (2) to eqn (1)
(101-99)x - (99-101)y = 501-499
=> 2(x-y) = 2
=> x-y = 1..................(4)
on adding (3) and (4)
=> 2x = 6
=> x = 3
on substracting from (2) to (1)
=> 2y = 4
=>. y = 2
Therefore x= 3 and y = 2
Hope this helps you
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