Предмет: Математика, автор: dmitrostaruhin

Знайди корінь рівняння: 2) 5 3/7-4x=3/7-1/4x

Ответы

Автор ответа: tanyabachinska

Почнемо з перенесення всіх членів рівняння на одну сторону:

5 3/7 - 4x = 3/7 - 1/4x

Знайдемо спільний знаменник для правої та лівої частин рівняння. Множимо ліву половину на 28, а праву частину на 4*7 = 28:

28*(5 3/7) - 28 4x = 4 (3/7) - 7x

Зводимо суміжні доданки:

199 - 28x = 12/7 - 7x

Додаємо 7x до обох сторін рівня:

199 - 21x = 12/7

Переносимо чисельні члени на одну сторону, а дріб на іншу:

199 - 12/7 = 21x

Множимо обидві сторони на 7/21, щоб отримати x:

(199 21/21) - (12/7 21/21) = х

х = 4143/147

Отже, корінь рівняння: x = 4143/147.

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