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`{( 3x - y = ( 4 - x )( 3 - y ) ( 1 ) ),( 5x - 12y = ( 6 - x )( 4 - y ) ( 2 ) ):}`

`( 1 ) <=> 3x - y = 12 - 3x - 4y + xy`

`6x + 3y = 12 + xy  ( 3 )`

`( 2 ) <=> 5x - 12y = 24 - 4x - 6y + xy`

`9x - 6y = 24 + xy  ( 4 )`

`( 3 ) ; ( 4 ) => 3x - 9y = 12`

`x = 3y + 4  ( 5 )`

`( 3 ) ; ( 5 ) <=> 6( 3y + 4 ) + 3y = 12 + ( 3y + 4 )y`

`18y + 24 + 3y = 12 + 3y^2 + 4y`

`21y + 24 = 3y^2 + 4y + 12`

`3y^2 - 17y - 12 = 0`

`y^2 - 17/3y = 4`

`y^2 - 2 . 17/6y + 289/36 = 433/36`

`( y - 17/6 )^2 = 433/36`

`y = ( 17 +- \sqrt{433})/6`

`=> x = ( 25 +- \sqrt{433} )/2`

`Vậy  ( x ; y ) in {(( 25 + \sqrt{433})/2 ; ( 17 + \sqrt{433} )/6 ),( ( 25 - \sqrt{433} )/2 ; ( 17 - \sqrt{433} )/6 ) }`