Вопрос школьника по предмету Алгебра
2x – 3y = 11,
15x + y = 2.
Помогите решить систему
Ответ учителя по предмету Алгебра
Ответ:
Решение системы уравнений х=17/47
у= -3 и 20/47
Объяснение:
2x – 3y = 11,
15x + y = 2.
Выразим у через х во втором уравнении, подставим выражение в первое уравнение и вычислим х:
у=2-15х
2х-3(2-15х)=11
2х-6+45х=11
47х=11+6
47х=17
х=17/47
у=2-15х
у=2-15*17/47
у= 2-5 и 20/47
у= -3 и 20/47
Решение системы уравнений х=17/47
у= -3 и 20/47
Проверка: значения х и у являются решением системы.
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