Convert the following equation into simultaneous equation and solve

Under root x/y=4,1/x+1/y=1/xy

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