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spldv

3x – 5y = 15

3x = 5y + 15

6x + 3y = 12

2(3x) + 3y = 12

2(5y + 15) + 3y = 12

10y + 30 + 3y = 12

13y = 12 – 30

y = -18/13

3x = 5y + 15

x = 5/3 y + 15/3

x = 5/3 . (-18/13) + 5

x = -30/13 + 65/13

x = 35/13

HP (x,y) = {(35/13 , -18/13)}