7x + 2y=5
2x + 3y = 16

{x,y} = {-1,6}

Step-by-step explanation:

System of Linear Equations entered :

 [1]           7x=5-2y

 [2]           3y=16-2x

Equations Simplified or Rearranged :

  [1]    7x + 2y = 5

  [2]    2x + 3y = 16

Graphic Representation of the Equations :

   2y + 7x = 5        3y + 2x = 16  

Solve by Substitution :

Solve equation [2] for the variable  y

 [2]    3y = -2x + 16

 [2]    y = -2x/3 + 16/3

Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-2x/3+16/3) = 5

  [1]    17x/3 = -17/3

  [1]    17x = -17

Solve equation [1] for the variable  x

  [1]    17x = - 17

  [1]    x = - 1

By now we know this much :

   x = -1

   y = -2x/3+16/3

Use the  x  value to solve for  y

   y = -(2/3)(-1)+16/3 = 6