X/2 + y = 0.8 and 7/(x +y/2) =10
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x/2 + y = 0.8
7/(x + y/2) = 10
Above equations can be written as :-
x + 2y = 1.6 ………....(a)
14/(2x + y) = 10
10(2x + y) = 14
20x + 10y = 14
2(10x + 5y) = 14
10x + 5y = 14/2
10x + 5y = 7 ……...............(b)
Now,
Multiply (a) by 10 we get :-
10x + 20y = 16 …............. (c)
Now,
Subtracting (c) from (b) we get :-
-15y = - 9
15y = 9
y = 9/15
y = 3/5
Now,
Putting this value of y in (a) :-
x + 2y = 1.6
x + 2(3/5) = 1.6
x + 6/5 = 1.6
x = 1.6 - 6/5
x = 1.6 - 1.2
x = 0.4
x = 4/10
x = 2/5
Therefore,
x = 2/5 and y = 3/5
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