Solution - Linear equations with two unknowns

System of Linear Equations entered :

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

Graphic Representation of the Equations :

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

  
 

Solve by Substitution :

// Solve equation [2] for the variable  y 
 

  [2]    y = 2x + 3

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

   [1]    3x - 2•(2x+3) = -6
   [1]    -x = 0

// Solve equation [1] for the variable  x 

   [1]    x = 0 

// By now we know this much :

    x = 0
    y = 2x+3

// Use the  x  value to solve for  y 

    y = 2(0)+3 = 3 

Solution :

 {x,y} = {0,3}