Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    3x - 7y = 4
   [2]    6x - 2y = -2

Graphic Representation of the Equations :

    -7y + 3x = 4        -2y + 6x = -2  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  x 
 

  [2]    6x = 2y - 2

  [2]    x = y/3 - 1/3

// Plug this in for variable  x  in equation [1]

   [1]    3•(y /3-1/3) - 7y = 4
   [1]     - 6y = 5

// Solve equation [1] for the variable  y 

   [1]    6y = - 5 

   [1]    y = - 5/6 

// By now we know this much :

    x = y/3-1/3
    y = -5/6

// Use the  y  value to solve for  x 

    x = (/3)(-5/6)-1/3 = -11/18 

Solution :

 {x,y} = {-11/18,-5/6}