Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    x - y = -2
   [2]    2x + 5y = -18

Graphic Representation of the Equations :

    y + x = -2        5y + 2x = -18  

  
 

Solve by Substitution :

// Solve equation [1] for the variable  x 
 

  [1]    x = y - 2

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

   [2]    2•(y -2) + 5y = -18
   [2]    7y = -14

// Solve equation [2] for the variable  y 

   [2]    7y = - 14 

   [2]    y = - 2 

// By now we know this much :

    x = y-2
    y = -2

// Use the  y  value to solve for  x 

    x = (-2)-2 = -4 

Solution :

 {x,y} = {-4,-2}