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Rabid Puma says
x = 3y
1/x + 1/y = 4
Therefore
1/(3y) + 1/y = 4
or
1/(3y) +3/(3y) = 4
4/(3y) = 4
3y = 1
y = 1/3
since x = 3y, x = 1
y = 1/3; x = 1

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x = 3y
1/x + 1/y = 4
Therefore
1/(3y) + 1/y = 4
or
1/(3y) +3/(3y) = 4
4/(3y) = 4
3y = 1
y = 1/3
since x = 3y, x = 1
y = 1/3; x = 1