Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    3x + 4y = 14
   [2]    x - 4y = -14

Graphic Representation of the Equations :

    4y + 3x = 14        -4y + x = -14  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  x 
 

  [2]    x = 4y - 14

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

   [1]    3•(4y-14) + 4y = 14
   [1]    16y = 56

// Solve equation [1] for the variable  y 

   [1]    16y = 56 

   [1]    y = 7/2 

// By now we know this much :

    x = 4y-14
    y = 7/2

// Use the  y  value to solve for  x 

    x = 4(7/2)-14 = 0 

Solution :

 {x,y} = {0,7/2}