Resolver 2(0.0891+(1.07*10^-6x)/5.71*10^-6)+y=6000

$$2( \frac{ 0.0891+(1.07 \times { 10 }^{ -6 } x) }{ 5.71 \times { 10 }^{ -6 } } )+y=6000$$

Resolver x

$$x=-\frac{571y}{214}-\frac{7197000}{107}$$

Pasos para resolver unha ecuación lineal

Calcula 10 á potencia de -6 e obtén \frac{1}{1000000}.

$$2\times \frac{0.0891+1.07\times \frac{1}{1000000}x}{5.71\times 10^{-6}}+y=6000$$

Multiplica 1.07 e \frac{1}{1000000} para obter \frac{107}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times 10^{-6}}+y=6000$$

Calcula 10 á potencia de -6 e obtén \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times \frac{1}{1000000}}+y=6000$$

Multiplica 5.71 e \frac{1}{1000000} para obter \frac{571}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{\frac{571}{100000000}}+y=6000$$

Divide cada termo de 0.0891+\frac{107}{100000000}x entre \frac{571}{100000000} para obter \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}.

$$2\left(\frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Divide 0.0891 entre \frac{571}{100000000} mediante a multiplicación de 0.0891 polo recíproco de \frac{571}{100000000}.

$$2\left(0.0891\times \frac{100000000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Multiplica 0.0891 e \frac{100000000}{571} para obter \frac{8910000}{571}.

$$2\left(\frac{8910000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Divide \frac{107}{100000000}x entre \frac{571}{100000000} para obter \frac{107}{571}x.

$$2\left(\frac{8910000}{571}+\frac{107}{571}x\right)+y=6000$$

Usa a propiedade distributiva para multiplicar 2 por \frac{8910000}{571}+\frac{107}{571}x.

$$\frac{17820000}{571}+\frac{214}{571}x+y=6000$$

Resta \frac{17820000}{571} en ambos lados.

$$\frac{214}{571}x+y=6000-\frac{17820000}{571}$$

Resta \frac{17820000}{571} de 6000 para obter -\frac{14394000}{571}.

$$\frac{214}{571}x+y=-\frac{14394000}{571}$$

Resta y en ambos lados.

$$\frac{214}{571}x=-\frac{14394000}{571}-y$$

A ecuación está en forma estándar.

$$\frac{214}{571}x=-y-\frac{14394000}{571}$$

Divide ambos lados da ecuación entre \frac{214}{571}, o que é igual a multiplicar ambos lados polo recíproco da fracción.

$$\frac{\frac{214}{571}x}{\frac{214}{571}}=\frac{-y-\frac{14394000}{571}}{\frac{214}{571}}$$

A división entre \frac{214}{571} desfai a multiplicación por \frac{214}{571}.

$$x=\frac{-y-\frac{14394000}{571}}{\frac{214}{571}}$$

Divide -\frac{14394000}{571}-y entre \frac{214}{571} mediante a multiplicación de -\frac{14394000}{571}-y polo recíproco de \frac{214}{571}.

$$x=-\frac{571y}{214}-\frac{7197000}{107}$$

Resolver y

$$y=\frac{-214x-14394000}{571}$$

Pasos da solución

Calcula 10 á potencia de -6 e obtén \frac{1}{1000000}.

$$2\times \frac{0.0891+1.07\times \frac{1}{1000000}x}{5.71\times 10^{-6}}+y=6000$$

Multiplica 1.07 e \frac{1}{1000000} para obter \frac{107}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times 10^{-6}}+y=6000$$

Calcula 10 á potencia de -6 e obtén \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times \frac{1}{1000000}}+y=6000$$

Multiplica 5.71 e \frac{1}{1000000} para obter \frac{571}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{\frac{571}{100000000}}+y=6000$$

Divide cada termo de 0.0891+\frac{107}{100000000}x entre \frac{571}{100000000} para obter \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}.

$$2\left(\frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Divide 0.0891 entre \frac{571}{100000000} mediante a multiplicación de 0.0891 polo recíproco de \frac{571}{100000000}.

$$2\left(0.0891\times \frac{100000000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Multiplica 0.0891 e \frac{100000000}{571} para obter \frac{8910000}{571}.

$$2\left(\frac{8910000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Divide \frac{107}{100000000}x entre \frac{571}{100000000} para obter \frac{107}{571}x.

$$2\left(\frac{8910000}{571}+\frac{107}{571}x\right)+y=6000$$

Usa a propiedade distributiva para multiplicar 2 por \frac{8910000}{571}+\frac{107}{571}x.

$$\frac{17820000}{571}+\frac{214}{571}x+y=6000$$

Resta \frac{17820000}{571} en ambos lados.

$$\frac{214}{571}x+y=6000-\frac{17820000}{571}$$

Resta \frac{17820000}{571} de 6000 para obter -\frac{14394000}{571}.

$$\frac{214}{571}x+y=-\frac{14394000}{571}$$

Resta \frac{214}{571}x en ambos lados.

$$y=-\frac{14394000}{571}-\frac{214}{571}x$$