Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    9x - 3y = 24
   [2]    11x + 2y = 1

Graphic Representation of the Equations :

    -3y + 9x = 24        2y + 11x = 1  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  y 
 

  [2]    2y = -11x + 1

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

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

   [1]    9x - 3•(-11x/2+1/2) = 24
   [1]    51x/2 = 51/2
   [1]    51x = 51

// Solve equation [1] for the variable  x 

   [1]    51x = 51 

   [1]    x = 1 

// By now we know this much :

    x = 1
    y = -11x/2+1/2

// Use the  x  value to solve for  y 

    y = -(11/2)(1)+1/2 = -5 

Solution :

 {x,y} = {1,-5}