x+y = 6 1/x + 1/y = 3/4 then x*y = ?

Dr.Dipin Singh   12 years AGO

1/x + 1/y = (x+y)/xy

x+y = 6
1/x + 1/y = 3/4

so 3/4 = 6/xy
xy=6*4/3=8 ... option 3

Like? Yes (6) | No (1)  

venkata mounica alapati   12 years AGO

x+y=6
1/x+1/y=(x+y)/(xy)=3/4
so, 6/(xy)=3/4
so, xy=8

Like? Yes (5) | No (1)  

Balakumaran N.A   12 years AGO

2nd eqn. => y+x = 3xy/4
=> 6*4 = 3xy
=> 8 = xy.

Like? Yes (5) | No (1)  

Devendra Marghade   12 years AGO

1/x + 1/y=3/4 ->4(x+y)=3xy
or 3xy=24
So x*y=8

Like? Yes (4) | No (1)  

Karan   12 years AGO

x+y = 6
1/x + 1/y = 3/4

x=2
y=4
x*y=2*4=8

Like? Yes (3) | No   

sonam tripathy   12 years AGO

solve eqns
x + y=6----(1)
1/x + 1/y =3/4------(2)
4x + 4y = 3xy-----(2)
multiply 4 with eqn 1 and subtract eqn 1 from 2
4x + 4y = 3xy
4x + 4y = 24
0=3xy - 24
3xy = 24
xy = 8

Like? Yes (4) | No (1)  

Anuj Pansari   12 years AGO

1/x + 1/y = 3/4
=> (x+y)/(x*y) = 3/4
=> 4*(x+y) = 3*(x*y)
=> 4*6 = 3* (x*y)
=> x*y = 4*6/3
=> x*y = 8

Like? Yes (3) | No   

Dimple   12 years AGO

x=2,y=4
or x=4,y=2

in both cases, xy =8

Like? Yes (3) | No   

unnam sai priya   12 years AGO

x+y=6
1/x+1/y=(x+y)/(xy)=3/4
so, 6/(xy)=3/4
so, xy=8

Like? Yes (3) | No (1)  

Dhivya   12 years AGO

x+y=6;
1/x+1/y=3/4;==>(Y+X)/xy = 3/4;
i.e 6/xy=3/4;
so xy=(6*4)/3=8

Like? Yes (3) | No (1)  

Aditya Gangrade   12 years AGO

1/x+1/y=3/4
(x+y)/xy=3/4
6*4/3=xy
xy=8

Like? Yes (3) | No (1)  

saikumar   12 years AGO

x+y=6
1/x+1/y=3/4
i.e. (x+y)/xy=3/4
6/x*y=3/4
x*y=6*(4/3)
x*y=8

Like? Yes (3) | No (1)  

suchitrarani   12 years AGO

8
x+y=6
1/x+1/y=3/4
x+y/xy=3/4
6/xy=3/4
xy=8

Like? Yes (3) | No (1)  

Muhammad Nadeem Haider Naseem   12 years AGO

As X+Y/X*Y=3/4
6/X*Y=3/4
X*Y=6*4/3=8

Like? Yes (3) | No (1)  

mohd zubair khan   12 years AGO

1/x + 1/y = 3/4
(x+y)/(x*y)=3/4
x*y=(4*6)/3
=8 ans

Like? Yes (3) | No (1)  

srimathy   12 years AGO

x=y =6 => y = 6-x;
1/x + 1/6-x =3/4 => 6-x+x/x(6-x) = 3/4
finally by multiplyling we get x^2 -6x + 8 =0
By solving this we get x = 4 or x=2
subs. in any eqn , we get y = 2 and y=4
so x*y = 8

Like? Yes (3) | No (1)  

Sneha Agarwal   12 years AGO

1/x + 1/y = 3/4
x+y/(x*y) = 3/4
6/xy = 3/4
xy = 6*4/3
xy = 8

Like? Yes (3) | No (1)  

shilpesh   12 years AGO

1> here 1/x+1/y=x+y/xy
2> x+y/xy=3/4
3> putting value of x+y=6
4> 6/xy=3/4
ans.option (3)8

Like? Yes (3) | No (1)  

Subhash chandra pal   12 years AGO

given x+y=6
1/x+1/y=3/4
=> (x+y)/x*y=3/4
=> 6/x*y=3/4
=> 24=3x*y
=> x*y=8

Like? Yes (1) | No   

Vinay Sipani    12 years AGO

(1/x) + (1/y) = (x + y)/xy = 6 / xy
=> 6/xy = 3/4
=> xy = 8

Like? Yes (1) | No (1)