Answer:
x=4/5
y=1/5
Step-by-step explanation:
X/y=4...(1)
1/x+1/y=1/xy...(2)
From (1) make x the subject of formula
x=4y...(3)
Substitute (3) into (2)
I/4y+1/y=1/4y^2
Let the LCM be 4y
1+4/4y=1/4y^2
Cross multiply
5(4y^2)=4y
20y^2=4y
Divide both sides by 4y
5y=1
Divide both sides by 5
y=1/5
Substitute y=1/5 into(3)
x=4(1/5)
x=4/5
