10 ! use elimination to solve the equation. 9x+2y=-17 -11x+2y=3

/ Solve equation [2] for the variable  y  

 [2]    7y = 12x + 17

 [2]    y = 12x/7 + 17/7

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

  [1]    9x - 2•(12x/7+17/7) = -3

  [1]    39x/7 = 13/7

  [1]    39x = 13

// Solve equation [1] for the variable  x  

  [1]    39x = 13

  [1]    x = 1/3

// By now we know this much :

   x = 1/3

   y = 12x/7+17/7

// Use the  x  value to solve for  y  

   y = (12/7)(1/3)+17/7 = 3

Solution :

{x,y} = {1/3,3}

Step-by-step explanation: