Solution - Linear equations with two unknowns

System of Linear Equations entered :

   [1]    8v + 8b = 240
   [2]    4v + b = 54

Graphic Representation of the Equations :

    8b + 8v = 240        b + 4v = 54  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  b 
 

  [2]    b = -4v + 54

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

   [1]    8v + 8•(-4v+54) = 240
   [1]    -24v = -192

// Solve equation [1] for the variable  v 

   [1]    24v = 192 

   [1]    v = 8 

// By now we know this much :

    v = 8
    b = -4v+54

// Use the  v  value to solve for  b 

    b = -4(8)+54 = 22 

Solution :

 {v,b} = {8,22}