(1/2x)+(1/3y)=2(1/3x)+(1/2y)=13/6Solve this equation by eliminating me

1.	(1/2x)+(1/3y)=2(1/3x)+(1/2y)=13/6Solve this equation by eliminating method
Answer» Let 1/x=a,1/y=b,1a/2+1b/3=2(1a/3)+(1b/2)=13/6, Let 1/x=a,1/y=b,1a/2+1b/3=2(1a/3)+(1b/2)=13/6 Let 1/x be a and 1/y be b.a/2 + b/3 = 2 and a/3 + b/2 = 13/6.Now take LCM.3a/6 + 2b/6 = 2 and 2a/6 + 3b/6 = 13/6.Send the denominator to RHS.3a + 2b = 12 and 2a + 3b = 13.Multiplying eq 1 by 2 and eq 2 by 1 .We get 6a + 4b = 24 and 6a + 9b = 39.Now you can eliminate.

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