x\a+y\b=2 , ax-by=a²+b²
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Answered by
17
hi friend,
→x/a+y/b=2
bx+ay=2ab
multiply with a on both sides,
abx+a²y=2a²b---------(1)
now, ax-by=a²+b²
multiply by b on both sides,we get
abx-b²y=a²b+b³-------(2)
(1)-(2) gives,
a²y+b²y=a²b-b³
y(a²+b²)=b(a²-b²)
→y=b(a²-b²)/(a²+b²)
by substituting this in x/a+y/b=2
x/a+(a²-b²)/(a²+b²)=2
→x/a=(2a²+2b²-a²+b²)/(a²+b²)
→x/a=(a²+3b²)/(a²+b²)
→x=a(a²+3b²)/(a²+b²)
I hope this will help u ;)
→x/a+y/b=2
bx+ay=2ab
multiply with a on both sides,
abx+a²y=2a²b---------(1)
now, ax-by=a²+b²
multiply by b on both sides,we get
abx-b²y=a²b+b³-------(2)
(1)-(2) gives,
a²y+b²y=a²b-b³
y(a²+b²)=b(a²-b²)
→y=b(a²-b²)/(a²+b²)
by substituting this in x/a+y/b=2
x/a+(a²-b²)/(a²+b²)=2
→x/a=(2a²+2b²-a²+b²)/(a²+b²)
→x/a=(a²+3b²)/(a²+b²)
→x=a(a²+3b²)/(a²+b²)
I hope this will help u ;)
Shreekar:
I am not able to understand that what have you done after multiplying the the second equation by a
i subtracted first equation from second one
NO I am not having any confusion over there .I just want to ask you that after multiplying the second equa. by a that is your first step to solve the question ,there from have you got ax-by=a*a+b*b ,the*sign means multiplication.
Answered by
4
solve through elimination 1) x/a+y/b=2&ax-by=a square- b square 2)ax/b-by/a=a+b&ax-by=2ab
solve through elimination 1) x/a+y/b=2&ax-by=a square- b square 2)ax/b-by/a=a+b&ax-by=2ab
solve through elimination 1) x/a+y/b=2&ax-by=a square- b square 2)ax/b-by/a=a+b&ax-by=2ab
Can you please send me the solution.
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