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Найди корень уравнения: \( \begin{array}{l}x+9=6 x \\ \text { (В ответе запиши число в виде десятичной дроби.) }\end{array} \). (в

Ask by Gibbs Hilton. in Russia
Jan 23,2025

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\( x = 1{,}8 \)

Solución

Решение уравнения \(x + 9 = 6x\): \[ x + 9 = 6x \\ 9 = 5x \\ x = \frac{9}{5} = 1{,}8 \] Ответ: **1,8**

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Чтобы решить уравнение \( x + 9 = 6x \), сначала перенесем все члены с переменной \( x \) на одну сторону, а константы на другую. Получаем \( 9 = 6x - x \) или \( 9 = 5x \). Теперь делим обе стороны на 5: \( x = \frac{9}{5} \). В десятичной дроби это будет \( 1.8 \). Однако не забывайте проверять свой ответ! Подставив \( x = 1.8 \) обратно в уравнение, мы получим \( 1.8 + 9 = 6 \cdot 1.8 \), что равно \( 10.8 = 10.8 \). Уверенный шаг!

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