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Popular Word Problems >

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

Solução

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

Solução

x = 48, y = 48

Passos da solução

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

Isolar

x

de

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

Substituir

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

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

Simplificar

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

Isolar

y

de

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

Para

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

Substituir

y = 48

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

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

x = 48

As soluções para o sistema de equações são:

x = 48, y = 48

Exemplos populares

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