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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7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

b, i believe, but not sure.