198x+202y=800 101x+99y=200
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99x + 101y = 99 ----> [1 ]
101x + 99y = 101 ----> [2 ]
Adding 1 and 2 ,
99x + 101x + 101y + 99y = 99 + 101
200x + 200y = 200
----> dividing by 200 on lhs and rhs
x + y = 1 ----> [3]
Now subtract equation 1 from 2
101x + 99y = 101
- 99x + 101y = 99
-------------------------------
2x - 2y = 2
dividing by 2 on lhs and rhs ,
x - y = 1 ----->[4]
Adding equations 3 and 4 ,
x + y = 1
x - y = 1
--------------
2x = 2
x = 1
x - y = 1
1 - y = 1
1 - 1 = y
y = 0
=========================================================================
x = 1 , y = 0
101x + 99y = 101 ----> [2 ]
Adding 1 and 2 ,
99x + 101x + 101y + 99y = 99 + 101
200x + 200y = 200
----> dividing by 200 on lhs and rhs
x + y = 1 ----> [3]
Now subtract equation 1 from 2
101x + 99y = 101
- 99x + 101y = 99
-------------------------------
2x - 2y = 2
dividing by 2 on lhs and rhs ,
x - y = 1 ----->[4]
Adding equations 3 and 4 ,
x + y = 1
x - y = 1
--------------
2x = 2
x = 1
x - y = 1
1 - y = 1
1 - 1 = y
y = 0
=========================================================================
x = 1 , y = 0
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