Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    x + 3y = 9
   [2]    4x - 2y = -6

Graphic Representation of the Equations :

    3y + x = 9        -2y + 4x = -6  

  
 

Solve by Substitution :

// Solve equation [1] for the variable  x 
 

  [1]    x = -3y + 9

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

   [2]    4•(-3y+9) - 2y = -6
   [2]     - 14y = -42

// Solve equation [2] for the variable  y 

   [2]    14y = 42 

   [2]    y = 3 

// By now we know this much :

    x = -3y+9
    y = 3

// Use the  y  value to solve for  x 

    x = -3(3)+9 = 0 

Solution :

 {x,y} = {0,3}