1uponx +1upony=12 3uponx-2upony=1
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Step-by-step explanation:
1/x + 1/y = 12 ......(i)
3/x - 2/y = 1 ......(ii)
let 1/x = a
let 1/y = b
a+ b= 12 ......(iii)
3a - 2b = 1 ......(iv)
LCM of 1 and 2 = 2
for making (b) = 2b multiply by 2 in (iii)
(a + b = 12) * 2
2a + 2b = 24 ......(v)
from (iv) and (v)
add (v) and (iv)
(3a - 2b = 1) + (2a + 2b = 24)
5a = 25
a = 5
putting value of a in (iii)
5 + b = 12
b = 12 -5
b = 7
we have assumed,
a = 1/x
1/x = 5
5x = 1
x = 1 / 5
we have assumed,
b= 1/y
1/y = 7
7y = 1
y = 1/7
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