Question

Решите системы уравнений.Напишите полное решение
$left { {{x-6y=17} atop {5x+6y=16}} right.$ 

$left { {{3x+5y=4} atop {-3x+y=8}} right.$

$left { {{2x+3y=3} atop {5x+6y=9}} right.$

$left { {{x-2y=8} atop {x-3y=6}} right.$

Answer 1

 $left { {{x-6y=17} atop {5x+6y=16}} right.$
 $left { {{x-6y=17} atop {6x=33}} right.$
$left { {{x-6y=17} atop {x=5}} right.$ 
$left { {{5-6y=17} atop {x=5}} right.$ 
$left { {{-6y=17-5} atop {x=5}} right.$ 
$left { {{y=-2} atop {x=5}} right.$  

$left { {{3x+5y=4} atop {-3x+y=8}} right.$  
$left { {{3x+5y=4} atop {6y=12}} right.$
$left { {{3x+5y=4} atop {y=2}} right.$
$left { {{3x+5*2=4} atop {y=2}} right.$
$left { {{3x=4-10} atop {y=2}} right.$
$left { {{3x=-6} atop {y=2}} right.$
$left { {{x=-2} atop {y=2}} right.$

$left { {{2x+3y=3} atop {5x+6y=9}} right.$
$left { {{2x+3y=3}/-2 atop {5x+6y=9}} right.$
$left { {{-4x-6y=-6} atop {5x+6y=9}} right.$
$left { {{-4x-6y=-6} atop {x=3}} right.$
$left { {{-4*3-6y=-6} atop {x=3}} right.$
$left { {{-6y=-6+12} atop {x=3}} right.$
$left { {{-6y=6} atop {x=3}} right.$
$left { {{y=-1} atop {x=3}} right.$  

$left { {{x-2y=8} atop {x-3y=6}} right.$
$left { {{x-2y=8}/-1 atop {x-3y=6}} right.$
$left { {{-x+2y=-8} atop {x-3y=6}} right.$
$left { {{-x+2y=-8} atop {-y=-2}} right.$
$left { {{-x+2y=-8} atop {y=2}} right.$
$left { {{-x+2*2=-8} atop {y=2}} right.$
$left { {{-x=-8-4} atop {y=2}} right.$
$left { {{-x=-12} atop {y=2}} right.$
$left { {{x=12} atop {y=2}} right.$

Если хотите проверить, просто подставьте значения в системы.