Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    4a + b = 0
   [2]    a - b = -6

Graphic Representation of the Equations :

    b + 4a = 0        b + a = -6  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  a 
 

  [2]    a = b - 6

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

   [1]    4•(b -6) + b = 0
   [1]    5b = 24

// Solve equation [1] for the variable  b 

   [1]    5b = 24 

   [1]    b = 24/5 

// By now we know this much :

    a = b-6
    b = 24/5

// Use the  b  value to solve for  a 

    a = (24/5)-6 = -6/5 

Solution :

 {a,b} = {-6/5,24/5}