1/x+y-1/2x=1/30,5/x+y+1/x=4/3
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Step-by-step explanation:
given
1/(x+y) - 1/2x = 1/30
and
5/(x+y) + 1/x = 4/3
now multiply 5 in the first equation
5/(x+y) - 5/2x = 5/30
5/(x+y) - 5/2x = 1/6
now minus second equation
5/(x+y) -5/(x+y) -5/2x -1/x=1/6 -4/3
-5/2x - 1/x = (1-8)/6
(-5-2)/2x = -7/6
-7/2x = -7/6
2x = 6
x = 3
put this value in first equation
1/(3+y) -1/2×3 = 1/30
1/(3+y) = 1/30 + 1/6
1/(3+y) = (1+5)/30
1/(3+y) = 6/30
1/(3+y) = 1/5
3+y = 5
y = 5-3
y = 2
the value of x and y are 3 and 2.
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