[Risolto] Sistema

{3·(x - 1/2)/4 - (y + 2/3)/2 = 1

{1/2·(- 3·x + 5·y + 83/6) = (3·y - 4·x)/3 + 1/2·(7/4·x + 1/2·y - 13/24) + 5

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{(3·x/4 - 3/8) - (y/2 + 1/3) = 1

{- 3·x/2 + 5·y/2 + 83/12 = (y - 4·x/3) + (7·x/8 + y/4 - 13/48) + 5

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{3·x/4 - y/2 = 41/24

{- 3·x/2 + 5·y/2 + 83/12 = - 11·x/24 + 5·y/4 + 227/48

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{3·x/4 - y/2 = 41/24

{- 11·x/24 + 5·y/4 + 227/48 - (- 3·x/2 + 5·y/2 + 83/12) = 0

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{(3·x/4 - y/2 = 41/24)·24

{(- 11·x/24 + 5·y/4 + 227/48 - (- 3·x/2 + 5·y/2 + 83/12) = 0)·48

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{3·x - 2·y = 41/6    (*-3)

{5·x - 6·y = 21/2

Elimino la y:

{- 9·x + 6·y = - 41/2

{5·x - 6·y = 21/2

sommo:

- 4·x = - 41/2 + 21/2

- 4·x = -10----> x = 5/2

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{(3·x - 2·y = 41/6)·5

{(5·x - 6·y = 21/2)·3

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{15·x - 10·y = 205/6

{15·x - 18·y = 63/2

Elimino la x per sottrazione:

8·y = 205/6 - 63/2

8·y = 8/3----> y = 1/3

Soluzione sistema: [x = 5/2 ∧ y = 1/3]