Hi, Yes! You are exactly corect

Solving by the elimination method 

5r - 8s = -3

8r + 5s = 102 



25/8r - 5s = -3*5/8   |multiplying 1st EQ by 5/8

 8r   + 5s = 102 

  89/8 r = -15/8 + 102

    89r  = -15 + 816

    89r = 801

      r = 9   and s = (5r+3)8 = 48/8=6 

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