Solution - Linear equations with two unknowns

System of Linear Equations entered :

  [1]           2x-1=x+y
  [2]           3y+11=3x+y

Equations Simplified or Rearranged :

   [1]    x - y = 1
   [2]    -3x + 2y = -11

Graphic Representation of the Equations :

    y + x = 1        2y - 3x = -11  

  
 

Solve by Substitution :

// Solve equation [1] for the variable  x 
 

  [1]    x = y + 1

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

   [2]    -3•(y +1) + 2y = -11
   [2]     - y = -8

// Solve equation [2] for the variable  y 

   [2]    y = 8 

// By now we know this much :

    x = y+1
    y = 8

// Use the  y  value to solve for  x 

    x = (8)+1 = 9 

Solution :

 {x,y} = {9,8}