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Question

13x+y+13xy=34
12(3x+y)12(3xy)=18

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Solution

13x+y+13xy=34(1)

12(3x+y)12(3xy)=181(3x+y)1(3xy)=14(2)

(1)+(2)23x+y=243x+y=4(3)

Put (3) in (1)

14+13xy=3413xy=123xy=2(4)

(3)+(4)6x=6x=1

Put x=1 in (3)

3(1)+y=4y=1

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