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

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

Rešitev za x

$$x = \frac{3679200000}{137} = 26855474\frac{62}{137} \approx 26855474,452554745$$

Koraki za reševanje linearnih enačb

Pomnožite 1022 in 1, da dobite 1022.

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

Pomnožite 1022 in 2, da dobite 2044.

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

Združite \frac{x}{1022} in \frac{x}{2044}, da dobite \frac{3}{2044}x.

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

Pomnožite 1022 in 3, da dobite 3066.

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

Združite \frac{3}{2044}x in \frac{x}{3066}, da dobite \frac{11}{6132}x.

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

Pomnožite 1022 in 4, da dobite 4088.

$$\frac{11}{6132}x+\frac{x}{4088}+\frac{x}{1022\times 5}=60000$$

Združite \frac{11}{6132}x in \frac{x}{4088}, da dobite \frac{25}{12264}x.

$$\frac{25}{12264}x+\frac{x}{1022\times 5}=60000$$

Pomnožite 1022 in 5, da dobite 5110.

$$\frac{25}{12264}x+\frac{x}{5110}=60000$$

Združite \frac{25}{12264}x in \frac{x}{5110}, da dobite \frac{137}{61320}x.

$$\frac{137}{61320}x=60000$$

Pomnožite obe strani enačbe z vrednostjo \frac{61320}{137}, obratno vrednostjo vrednosti \frac{137}{61320}.

$$x=60000\times \frac{61320}{137}$$

Izrazite 60000\times \frac{61320}{137} kot enojni ulomek.

$$x=\frac{60000\times 61320}{137}$$

Pomnožite 60000 in 61320, da dobite 3679200000.

$$x=\frac{3679200000}{137}$$