Solve the following system of equations: `1/(2x)+1/(3y)=2,\ \ \ 1/(3x)+1/(2y)=(13)/6`

Solve the following system of equations: (1)/(2x)+(1)/(3y)=2,quad (1)/(3x)+(1)/(2y)=(13)/(6)

Solve the following system of equations: (1)/(7x)+(1)/(6y)=3,quad (1)/(2x)-(1)/(3y)=5

Solve the following system of equations: (3)/(x)-(1)/(y)=-9,quad (2)/(x)+(3)/(y)=5

Solve the following system of equations: (1)/(2x)-(1)/(y)=-1(1)/(x)+(1)/(2y)=9, where x!=0,y!=0

Solve the following system of equations: (1)/(3x+y)+(1)/(3x-y)=(3)/(4),quad (1)/(2(3x+y))-(1)/(2(3x-y))=-(1)/(8)

Solve the following system of equations: (2)/(x)+(3)/(y)=13,quad (5)/(x)-(4)/(y)=-2

Solve the following system of equations: (5)/(x-1)+(1)/(y-2)=2,quad (6)/(x-1)-(3)/(y-2)=1

Solve the following system of equations: (2)/(3x+2y)+(3)/(3x-2y)=(17)/(5),quad (5)/(3x+2y)+(1)/(3x-2y)=2

Solve the following system of equations: (3)/(x+y)+(2)/(x-y)=2,quad (9)/(x+y)-(4)/(x-y)=1

Solve the following system of equations : {:((1)/(x)-(1)/(y)+(2)/(z)=7),((3)/(x)+(4)/(y)-(5)/(z)=-5),((2)/(x)-(1)/(y)+(3)/(z)=12):}