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6x+3y=6xy 2x+4y=5xy

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6x+3y=6xy 2x+4y=5xy

Posted by Sana Parveen 7 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Sunidhi Baghel 7 years, 5 months ago

6x+3y=6xy ____ eqn. 1 2x+4y=5xy_____ eqn. 2 6x+3y/xy=6 (from eqn. 1), 6x/xy+3y/xy=6 6/y+3/x=6 2x+4y/xy=5 (from eqn. 2) 2x/xy+4y/xy=5 2/y+4/x=5 Let 1/x be p and 1/y be q So, 6q+3p=6______ eqn. 3 2q+4p=5______eqn. 4 By elimination method Multiply eqn. 4 by 3 3*2q+4p=5 6q+12p=15 _______5 Now subtract eqn. 3 from 5 6q+3p=6 6q+12p=15 - - - ______________ 0 +9p= 9 p=9/9 p= 1 Put the value of p in eqn. 4 2q+4*1=5 2q= 5-4 q=1/2 p=1=1/x p=x=1 q=1/2=1/y q=y=2

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Sana Parveen 7 years, 5 months ago

I don't no

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