Solve the following equations: `(2x)/(3)-(3y)/(2)=-2; (x)/(2)+(4y)/(3)=(25)/(3)`

Solve the following simultaneous equations. (2)/(x) + (2)/(3y) = (1)/(6) , (3)/(x) + (2)/(y) = 0

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: x+2y=(3)/(2),quad 2x+y=(3)/(2)

Solve the following simultaneous equations. (1)/(2(3x+4y))+(1)/(5(2x-3y))=(1)/(4) , (5)/((3x+4y)) - (2)/((2x-3y))=(3)/(2)

Solve the following differential equations. (dy)/(dx)=(2y+x+1)/(2x+4y+3)

Solve the following differential equations. (dy)/(dx)=(x+2y+3)/(2x+3y+4)

Solve the following differential equations. (dy)/(dx)=(-(x^(2)+3y^(2)))/((3x^(2)+y^(2)))

Solve the following system of equations: 7(y+3)-2(x+2)=14,quad 4(y-2)+3(x-3)=2