Math, asked by salonirawat106, 1 month ago

ax/b -by/a=a+b,ax-by=2ab
solve this with elimanation method (◍•ᴗ•◍)❤
dont \: do \: copy \: paste

Answers

Answered by MysticSohamS
1

Answer:

hey here is your answer

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Step-by-step explanation:

so \: here \: given \: linear \: equations \: are \:  \\  \frac{ax}{b}  -  \frac{by}{a}  = a + b \\ ie  \: \:  \frac{a {}^{2} x - b {}^{2}y }{ab}  = a + b \\    a {}^{2}x - b {}^{2} y  = a {}^{2} b + ab {}^{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: (1) \\ax - by = 2ab \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  (2)

multiplying \:  \: (2) \: by \: b \\ we \: get \\ bax - b {}^{2} y = 2ab {}^{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: (3) \\ subtracting \: now \: (1) \: from \: (3) \\ we \: get \\  \\ bax - a {}^{2} x = ab {}^{2}   -  a {}^{2} b \\ ax(b - a) = ab(b - a) \\ ie \:  \: ax = ab \\ so  \:  \: hence \: \: x = b

substitute \: value \: of \: x \: in \: any \: of \: three \: equations \:  \\ we \: get \\ y = -  a \\  \\ hence \:  \: (x,y) = ( b,-a) \: is \: solution \: of \: above \: linear \: equations \:

Answered by lovingrathour
2

ax/b -by/a=a+b,ax-by=2ab

solve this with elimanation method (◍•ᴗ•◍)❤

dont \: do \: copy \: paste

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