Question

привезли 450 кг яолок? 6. Пара чисел (5, -3) является решением системы уравнений. Найдите значения а и b. x-4by-y-2b+a=16, |ax-6y+5a=-2.
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Answer 1

$\displaystyle\bf\\\left \{ {{x - 4by - y - 2b + a = 16} \atop {ax - 6y + 5a = - 2 }} \right. \\ \displaystyle\bf\\\left \{ {{5 - 4 \times ( - 3)b - ( - 3) - 2b + a = 16} \atop {5a - 6 \times ( - 3) + 5a = - 2 }} \right. \\ \displaystyle\bf\\\left \{ {{5 + 12b + 3 - 2b + a = 16 } \atop {10a + 18 = - 2 }} \right. \\ \displaystyle\bf\\\left \{ {{10b + a = 16 - 8} \atop {10a = - 20 \: \: | \div 10 }} \right. \\ \displaystyle\bf\\\left \{ {{10b - 2 = 8} \atop {a = - 2 }} \right. \\ \\ 10b = 8 + 2 \\ 10b = 10 \\ b = 10 \div 10 \\ b = 1$

Ответ: a = - 2 ; b = 1