Solution - Linear equations with two unknowns

System of Linear Equations entered :

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

Graphic Representation of the Equations :

    y + 2x = 6        y - x = -1  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  y 
 

  [2]    y = -x + 1

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

   [1]    2x - (-x +1) = 6
   [1]    3x = 7

// Solve equation [1] for the variable  x 

   [1]    3x = 7 

   [1]    x = 7/3 

// By now we know this much :

    x = 7/3
    y = -x+1

// Use the  x  value to solve for  y 

    y = -(7/3)+1 = -4/3 

Solution :

 {x,y} = {7/3,-4/3}