Solve this equation
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Step-by-step explanation:
first think let 1÷x=a and 1÷y =b
then solve it by any method but i did it with substitution method
i got a=13/11 and b=8/11
at last by cross multiply x=11/14 and y=11/8
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1/7x + 1/6y =3, 1/2x -1/3y = 5
let 1/x be a
and 1/y be b
a/7+b/6 = 3, a/2-b/3=5
6a+7b/42=3
6a+7b=126.....1
3a-2b/6=5
3a-2b=30.....2
multiplying equation 2 with 2
(3a-2b)2=30*2
6a-4b=60........3
subtracting equation 3 from 1
(6a+7b)-(6a-4b)=126-30
6a+7b-6a+4b=66
11b=66
b=6
now 3a-2b=30
3a-2×6=30
3a-12=30
3a=30+12
3a=42
a=14
now as b=1/y. and a=1/x
6=1/y. ,. 14=1/x
y=1/6. ,. x=1/14
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