Question

Розв’яжіть систему рівнянь способом додавання: {5x-7y=1 {6x-5y=8 Смотреть ответ yutina yutina Ответ: х=3, у=2 Объяснение: {5x-7y=1 {6x-5y=8 5х-7у+6х-5у=9 Ми бачимо, що тут немає протилежних коєфіцієнтів, тому треба помножити ці два рівняння на числа 6 і 5. 30х-42у=6 30х-25у=40 Оскільки числа не скорочуються, то: (30х-42у)-(30х-25у)=6-40 30х-42у-30х+25у=-34 Скорочуємо 30 х і -30х -42у+25у=-34 -17у=-34 у=2 Тепер, щоб знайти "х", треба підставити 2 замість "у" в будь-яке рівняння з системи 5х-7×2=1 5х-14=1 5х=15 х=3 Новые вопросы в Алгебра Скоротіть дріб.Будь ласка хелп ПОМОГИТЕ СРОЧНО ДАЮ 30 БАЛЛОВ Дано координати 4 точок: A(1,2,3), B(4,-5,6),C(-1,3,-4), D(-5,3,2). Визначити довжину вектора AB, площу трикутника ABC, об’єм піраміди ABCD, координат … у точки H (проекція точки С на пряму AB). Написати рівняння площини ABC у канонічному вигляді, та «у відрізках». Написати рівняння лінії AB у параметричному вигляді. Знайти координати точки E, яка є вершиною паралелограма ABEC. f(x) > 0 кароч забийте на це поможіть з тим що на фото будь ласка​ Розв'яжіть систему рівнянь способом додавання {x-2/4+y-2/4=2, x-2/3-y-2/9=4/3 Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Answer 1

Звідки ви отримали цей текст, неясно. Однак, для вирішення системи рівнянь способом додавання необхідно обрати одну змінну, яку бажано виразити через іншу. Давайте розв'яжемо цю систему крок за кроком.

Система рівнянь:

1. $5x-7y=1$

2. $6x-5y=8$

Множимо перше рівняння на 6 та друге на 5, щоб у коефіцієнтів $x$ або $y$ з'явилися протилежні числа:

1. $30x-42y=6$

2. $30x-25y=40$

Тепер віднімемо друге рівняння від першого:

$(30x-42y) - (30x-25y) = 6 - 40$

$30x - 42y - 30x + 25y = -34$

$-17y = -34$

$y = 2$

Після того, як ми знайшли значення $y$, можемо підставити його у перше рівняння для знаходження $x$:

$5x - 7(2) = 1$

$5x - 14 = 1$

$5x = 15$

$x = 3$

Таким чином, ми знаходимо розв'язок системи рівнянь: $x = 3$ та $y = 2$. Якщо ви маєте будь-які інші питання або потребуєте роз'яснень з будь-якої іншої теми, будь ласка, дайте мені знати!