Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    3x - 3y = 7
   [2]    7x + 6y = -14

Graphic Representation of the Equations :

    -3y + 3x = 7        6y + 7x = -14  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  y 
 

  [2]    6y = -7x - 14

  [2]    y = -7x/6 - 7/3

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

   [1]    3x - 3•(-7x/6-7/3) = 7
   [1]    13x/2 = 0
   [1]    13x = 0

// Solve equation [1] for the variable  x 

   [1]    13x = 0 

   [1]    x = 0 

// By now we know this much :

    x = 0
    y = -7x/6-7/3

// Use the  x  value to solve for  y 

    y = -(7/6)(-0/32765)-7/3 = -7/3 

Solution :

 {x,y} = {0/32765,-7/3}