Solve the following system of equations. give the answer as an ordered pair.
2x - y = 6 5x + 3y = 26

5x+3y=26;6x+7y=21  

Solution :

{x,y} = {7,-3}  

System of Linear Equations entered :

  [1]    5x + 3y = 26

  [2]    6x + 7y = 21

Graphic Representation of the Equations :

   3y + 5x = 26        7y + 6x = 21  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 [2]    7y = -6x + 21

 [2]    y = -6x/7 + 3

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

  [1]    5x + 3•(-6x/7+3) = 26

  [1]    17x/7 = 17

  [1]    17x = 119

// Solve equation [1] for the variable  x  

  [1]    17x = 119  

  [1]    x = 7  

// By now we know this much :

   x = 7

   y = -6x/7+3

// Use the  x  value to solve for  y  

   y = -(6/7)(7)+3 = -3  

Solution :

{x,y} = {7,-3}

Step-by-step explanation:

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total