2x - 3y = 16
3x + 2y = 11

Solve the system of equations!!

{x,y} = {5,-2}

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    2y = -3x + 11

 [2]    y = -3x/2 + 11/2

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

  [1]    2x - 3•(-3x/2+11/2) = 16

  [1]    13x/2 = 65/2

  [1]    13x = 65

// Solve equation [1] for the variable  x

  [1]    13x = 65

  [1]    x = 5

// By now we know this much :

   x = 5

   y = -3x/2+11/2

// Use the  x  value to solve for  y

   y = -(3/2)(5)+11/2 = -2

Solution :

{x,y} = {5,-2}

  Processing ends successfully  

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