Question

2x+12y=17xy and 5(x+y)=36xy​

Answer 1

Answer:

x=50/13,y=50/347

Step-by-step explanation:

2x+12y=17xy. -1

5x+5y=36xy. -2

divide eq.1 and eq.2 by xy,we get

2/y+12/x=17. -3

5/y +5/x=36. -4

let 1/x=u and 1/y=v in eq.3 and eq.4, we get

2v+12u=17. -5

5v+5u=36. -6

multiplying eq.5 by 5 and eq.6 by 2,then subtract them ,we get

50u=13

u=13/50

putting u=13/50 in eq.6, we get

5v=36-(13/10)

v=347/50

1/x=u=13/50

x=50/13

1/y=v=347/50

y=50/347

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