solve the following simultaneous equation and find value of x+y. 99x+101y=499; 101x+99y =501
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100x - x + 100y + y = 499
100x + x + 100y - y = 501
- - - + -
---------------------------------------
-2x + 2y = -2
2x - 2y = 2
x - y = 1
X = 1 + y
99(1+y) + 101y = 499
99 + 99y + 101y = 499
200y = 400
y = 2
x = 3
x + y = 3 + 2 = 5
100x + x + 100y - y = 501
- - - + -
---------------------------------------
-2x + 2y = -2
2x - 2y = 2
x - y = 1
X = 1 + y
99(1+y) + 101y = 499
99 + 99y + 101y = 499
200y = 400
y = 2
x = 3
x + y = 3 + 2 = 5
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