Question

Реши систему управлений

10х-3у=2
-4х+2у=20

(Результат округлите до сотых)

Answer 1

Ответ:

$\displaystyle\\\left \{ {{x=8} \atop {y=26}} \right.$

Объяснение:

$\displaystyle\\\left \{ {{10x-3y=2} \atop {-4x+2y=20}} \right. \Bigg.\\\\\left \{ {{10x-3y=2} \atop {-2x+y=10}} \right. \Bigg.\\\\\left \{ {{10x-3y=2} \atop {y=2x+10}} \right. \Bigg.\\\\\left \{ {{10x-3\cdot\big(2x+10\big)=2} \atop {y=2x+10}} \right. \Bigg.\\\\\left \{ {{10x-6x-30=2} \atop {y=2x+10}} \right. \Bigg.\\\\\left \{ {{4x=32} \atop {y=2x+10}} \right. \Bigg.\\\\\left \{ {{\boxed{x=8}} \atop {y=2x+10}} \right. \Bigg.\\\\\left \{ {{x=8} \atop {y=2\cdot8+10}} \right.$

$\displaystyle\\\left \{ {{x=8} \atop {y=26}} \right.$