Respuesta :

Answer:

11/6=x

Step-by-step explanation:

System of Linear Equations entered :

 [1]           y=5x-7

 [2]           -3x-3y=-12

Equations Simplified or Rearranged :

  [1]    y - 5x = -7

  [2]    -3y - 3x = -12

Graphic Representation of the Equations :

   -5x + y = -7        -3x - 3y = -12  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  y  

 

 [1]    y = 5x - 7

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

  [2]    -3•(5x-7) - 3x = -12

  [2]     - 18x = -33

// Solve equation [2] for the variable  x  

  [2]    18x = 33  

  [2]    x = 11/6  

// By now we know this much :

   y = 5x-7

   x = 11/6

// Use the  x  value to solve for  y  

   y = 5(11/6)-7 = 13/6  

Solution :

{y,x} = {13/6,11/6}