Maths class 10 ncert chapter 3 exercise 3.6 Q1 -8
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as u know what the eq is given
taking u=1/3x+y and v=1/3x-y,the given system of equation become
u+v=3/4--------------1
and 1/2u-1/2v=-1/4------2
adding 1.and 2
2u=3/4-1/4
2u=2/4
u=1/4
putting u=1/4 in =en 1,we get
1/4+v=3/4
just solve it ,v=1/2
now u=1/4 gives
1/3x+y=1/4
3x+y=4-------3
and v=1/2 gives
1/3x-y=1/2 or 3x-y=2------------4
adding 3 and 4
6x=6 or x=1
putting x=1 in =en 3 ,we get
3+y=4 or y= 4-3=1
hence x=1 and y=1
may be helpful
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hope it will help you
have a good day
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