What is the best way for solving this question. It is very important type of question. I am not able to solve this question. So please help me for solving this question Solve the following pairs of equations by reducing them to a pair of linear equations: (vi) 6x + 3y = 6xy 2x + 4y = 5xy

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# Solve the following pairs of equations by reducing them to a pair of linear equations: (vi) 6x + 3y = 6xy 2x + 4y = 5xy Q.1(6)

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6x + 3y = 6xy

6/y + 3/x = 6

Let 1/x = m and 1/y = n

=> 6n +3m = 6

=>3m + 6n-6 = 0â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦.(i)

2x + 4y = 5xy

=>Â 2/y + 4/x = 5

=> 2n +4m = 5

=> 4m+2n-5 = 0â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦..(ii)

3m + 6n â€“ 6 = 0

4m + 2n â€“ 5 = 0

By cross-multiplication method, we get

m/(-30 â€“(-12)) = n/(-24-(-15)) = 1/(6-24)

m/-18 = n/-9 = 1/-18

m/-18 = 1/-18

m = 1

n/-9 = 1/-18

n = 1/2

m = 1 and n = 1/2

m = 1/x = 1 and n = 1/y = 1/2

x = 1Â andÂ y = 2

Hence, x = 1 and y = 2