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Популярное Word Problems >

Solve the system of equations x/6+y/8 =14 and x/8+y/6 =14

Решение

\frac{x}{6} + \frac{y}{8} = 14, \frac{x}{8} + \frac{y}{6} = 14

Решение

x = 48, y = 48

Шаги решения

[\frac{x}{6} + \frac{y}{8} = 14 \frac{x}{8} + \frac{y}{6} = 14]

Отделять

x

для

\frac{x}{6} + \frac{y}{8} = 14 : x = 84 - \frac{3 y}{4}

Замените

x = 84 - \frac{3 y}{4}

[\frac{84 - \frac{3 y}{4}}{8} + \frac{y}{6} = 14]

После упрощения получаем

[\frac{1008 + 7 y}{96} = 14]

Отделять

y

для

\frac{1008 + 7 y}{96} = 14 : y = 48

Для

x = 84 - \frac{3 y}{4}

Замените

y = 48

x = 84 - \frac{3 \cdot 48}{4}

84 - \frac{3 \cdot 48}{4} = 48

x = 48

Решениями системы уравнений являются:

x = 48, y = 48

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