Convert the following equation into simultaneous equation and solve Under root x/y=4,1/x+1/y=1/xy Question Convert the following equation into simultaneous equation and solve Under root x/y=4,1/x+1/y=1/xy in progress 0 Math Hailey 2 weeks 2021-09-14T22:44:58+00:00 2021-09-14T22:44:58+00:00 1 Answer 0

## Answers ( )

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