Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    x - y = 8
   [2]    2x - y = 19

Graphic Representation of the Equations :

    y + x = 8        y + 2x = 19  

  
 

Solve by Substitution :

// Solve equation [1] for the variable  x 
 

  [1]    x = y + 8

// Plug this in for variable  x  in equation [2]

   [2]    2•(y +8) - y = 19
   [2]    y = 3

// Solve equation [2] for the variable  y 

   [2]    y = 3 

// By now we know this much :

    x = y+8
    y = 3

// Use the  y  value to solve for  x 

    x = (3)+8 = 11 

Solution :

 {x,y} = {11,3}