Resol x/1022*1+x/1022*2+x/1022*3+x/1022*4+frac{x}{1002*5}=60000

$$\frac { x } { 1022 \cdot 1 } + \frac { x } { 1022 \cdot 2 } + \frac { x } { 1022 \cdot 3 } + \frac { x } { 1022 \cdot 4 } + \frac { x } { 1002 \cdot 5 } = 60000$$

Resoleu x

$$x = \frac{614426400000}{22919} = 26808604\frac{4924}{22919} \approx 26808604,21484358$$

Passos per resoldre una equació lineal

Multipliqueu 1022 per 1 per obtenir 1022.

$$\frac{x}{1022}+\frac{x}{1022\times 2}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Multipliqueu 1022 per 2 per obtenir 2044.

$$\frac{x}{1022}+\frac{x}{2044}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Combineu \frac{x}{1022} i \frac{x}{2044} per obtenir \frac{3}{2044}x.

$$\frac{3}{2044}x+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Multipliqueu 1022 per 3 per obtenir 3066.

$$\frac{3}{2044}x+\frac{x}{3066}+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Combineu \frac{3}{2044}x i \frac{x}{3066} per obtenir \frac{11}{6132}x.

$$\frac{11}{6132}x+\frac{x}{1022\times 4}+\frac{x}{1002\times 5}=60000$$

Multipliqueu 1022 per 4 per obtenir 4088.

$$\frac{11}{6132}x+\frac{x}{4088}+\frac{x}{1002\times 5}=60000$$

Combineu \frac{11}{6132}x i \frac{x}{4088} per obtenir \frac{25}{12264}x.

$$\frac{25}{12264}x+\frac{x}{1002\times 5}=60000$$

Multipliqueu 1002 per 5 per obtenir 5010.

$$\frac{25}{12264}x+\frac{x}{5010}=60000$$

Combineu \frac{25}{12264}x i \frac{x}{5010} per obtenir \frac{22919}{10240440}x.

$$\frac{22919}{10240440}x=60000$$

Multipliqueu els dos costats per \frac{10240440}{22919}, la recíproca de \frac{22919}{10240440}.

$$x=60000\times \frac{10240440}{22919}$$

Expresseu 60000\times \frac{10240440}{22919} com a fracció senzilla.

$$x=\frac{60000\times 10240440}{22919}$$

Multipliqueu 60000 per 10240440 per obtenir 614426400000.

$$x=\frac{614426400000}{22919}$$