Question

find X and y of equations
$x + y = 5xy$
$3x + 2y = 13xy$
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Answer 1

x+y=5xy

3x+2y=13xy

take

x+y=5xy

x=5xy-y

now take

3x+2y=13xy

substitute for x

3(5xy-y)+2y=13xy

15xy-3y+2y=13xy

-y=13xy-15xy

-y= -2 xy

y=2xy

2x=y/y

2x=1

x=1/2

take

x+y=5xy

substitute x=1/2

1/2 +y =5(1/2)(y)

1+2y/2=5y/2

:.1+2y=5y

5y-2y=1

3y=1

y=1/3

=>x=1/2

y=1/3