Question

solve :x+y=5xy,3x+2y=13xy

Answer 1

x + y = 5xy 

x = 5xy - y  -----1equation

----------------------------
3x + 2y = 13xy 

Putting the value of x from 1equation,

3(5xy - y) + 2y = 13xy 

15xy - 3y + 2y = 13xy 

15xy - 13xy = y 

2xy = y 

2x = 1 

x = 1/2 

--------------------------------

Putting the value of x in 1equation,

x = 5xy  - y 

1/2 = 5y/2 - y 

1/2 = (5y - 2y)/2 

1 = 3y 

1/3= y 

=========================

x = 1/2
y = 1/3 



i hope this will help you

(-:

Answer 2

eq (1)×2
2x+2y=10xy... eq (3)
ek(2)-(3)
x=3xy
x/3x=y
y=1/3
put y=1/3 in eq (1)
x+1/3=5×x×1/3
3x+1/3=5x/3
9x+9=15x
6x=9
x=3/2
x=3/2,;y=1/3
is your answer