Solution - Linear equations with two unknowns

System of Linear Equations entered :

  [1]           5g-2h=-4
  [2]           8=h-4g

Equations Simplified or Rearranged :

   [1]    5g - 2h = -4
   [2]    4g - h = -8

Graphic Representation of the Equations :

    -2h + 5g = -4        h + 4g = -8  

  
 

Solve by Substitution :

// Solve equation [2] for the variable  h 
 

  [2]    h = 4g + 8

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

   [1]    5g - 2•(4g+8) = -4
   [1]    -3g = 12

// Solve equation [1] for the variable  g 

   [1]    3g = - 12 

   [1]    g = - 4 

// By now we know this much :

    g = -4
    h = 4g+8

// Use the  g  value to solve for  h 

    h = 4(-4)+8 = -8 

Solution :

 {g,h} = {-4,-8}