Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    y - 3x = -4
   [2]    y - 2x = 7

Graphic Representation of the Equations :

    -3x + y = -4        -2x + y = 7  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  y 
 

  [2]    y = 2x + 7

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

   [1]    (2x+7) - 3x = -4
   [1]     - x = -11

// Solve equation [1] for the variable  x 

   [1]    x = 11 

// By now we know this much :

    y = 2x+7
    x = 11

// Use the  x  value to solve for  y 

    y = 2(11)+7 = 29 

Solution :

 {y,x} = {29,11}