Resolver 31/2k+41/3=72/9

$$3 \frac{ 1 }{ 2 } k+4 \frac{ 1 }{ 3 } = 7 \frac{ 2 }{ 9 }$$

Resolver k

$$k=\frac{52}{63}\approx 0.825396825$$

Pasos para resolver unha ecuación lineal

Multiplica ambos lados da ecuación por 18, o mínimo común denominador de 2,3,9.

$$9\left(3\times 2+1\right)k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

Multiplica 3 e 2 para obter 6.

$$9\left(6+1\right)k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

Suma 6 e 1 para obter 7.

$$9\times 7k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

Multiplica 9 e 7 para obter 63.

$$63k+6\left(4\times 3+1\right)=2\left(7\times 9+2\right)$$

Multiplica 4 e 3 para obter 12.

$$63k+6\left(12+1\right)=2\left(7\times 9+2\right)$$

Suma 12 e 1 para obter 13.

$$63k+6\times 13=2\left(7\times 9+2\right)$$

Multiplica 6 e 13 para obter 78.

$$63k+78=2\left(7\times 9+2\right)$$

Multiplica 7 e 9 para obter 63.

$$63k+78=2\left(63+2\right)$$

Suma 63 e 2 para obter 65.

$$63k+78=2\times 65$$

Multiplica 2 e 65 para obter 130.

$$63k+78=130$$

Resta 78 en ambos lados.

$$63k=130-78$$

Resta 78 de 130 para obter 52.

$$63k=52$$

Divide ambos lados entre 63.

$$k=\frac{52}{63}$$