Solve the system of equations by substitution.
y=5x-13
4x + 3y = 18

{y,x} = {2,3}

System of Linear Equations entered :

 [1]           y=5x-13

 [2]           4x+3y=18

Equations Simplified or Rearranged :

  [1]    y - 5x = -13

  [2]    3y + 4x = 18

Graphic Representation of the Equations :

   -5x + y = -13        4x + 3y = 18  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 5x - 13

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

  [2]    3•(5x-13) + 4x = 18

  [2]    19x = 57

// Solve equation [2] for the variable  x

  [2]    19x = 57

  [2]    x = 3

// By now we know this much :

   y = 5x-13

   x = 3

// Use the  x  value to solve for  y

   y = 5(3)-13 = 2

Solution :

{y,x} = {2,3}

Explanation