solve the equation..plzz
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Step-by-step explanation:
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Answer:
x= 1/3 and y = 1/4
Step-by-step explanation:
Given,
1/16x + 1/15y = 9/20
Multiplying both side by 240,
16/x + 15/y = 108.... (i)
1/20x -1/27y = 4/45
Multiplying both side by 540,
20/x - 27/y = 48....(ii)
Now,
Let a = 1/x and b = 1/y,
From above,
16a+15b = 108....(iii)
20a-27b = 48....(iv)
Calculating eqns (iii)*5 + (iv)*4,
(16a+15b)*5 + (20a-27b)*4 = (108*5) + (48*4)
75a + 80b + 108a - 80b = 540 + 192
183a = 732
a = 4
Putting the value of a in eqns (iii),
15*(4) + 16b = 108
60 + 16b = 108
16b = 108 - 60
16b = 48
b = 48 / 16
b = 3
since,
a = 1/x
4 = 1/x
x = 1/4
b = 1/y
3 = 1/y
y = 1/3
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