Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    8x - 2y = -2
   [2]    6x - 2y = -2

Graphic Representation of the Equations :

    -2y + 8x = -2        -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]    8•(y /3-1/3) - 2y = -2
   [1]    2y/3 = 2/3
   [1]    2y = 2

// Solve equation [1] for the variable  y 

   [1]    2y = 2 

   [1]    y = 1 

// By now we know this much :

    x = y/3-1/3
    y = 1

// Use the  y  value to solve for  x 

    x = (/3)(1)-1/3 = 0 

Solution :

 {x,y} = {0,1}