Answer: 

(4, -1)

 To find y =

1.   Multiply the first equation [2x – 3y =11] by –2                  4x + 6y = -22

2.    2^nd equation [4x + 5y =11]                                                4x + 5y =  11

3.    Add                                                                                    11y = -11       so y = -1

To find x =

1.    Replace y = -1 into an original                                      4x + 5(-1) = 11

       equation                                                                             4x + -5 = 11

                                                                                                 4x = 16         so x = 4