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

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

Løs for x

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

Vejledning i at løse lineær ligning

Multiplicer 1022 og 1 for at få 1022.

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

Multiplicer 1022 og 2 for at få 2044.

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

Kombiner \frac{x}{1022} og \frac{x}{2044} for at få \frac{3}{2044}x.

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

Multiplicer 1022 og 3 for at få 3066.

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

Kombiner \frac{3}{2044}x og \frac{x}{3066} for at få \frac{11}{6132}x.

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

Multiplicer 1022 og 4 for at få 4088.

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

Kombiner \frac{11}{6132}x og \frac{x}{4088} for at få \frac{25}{12264}x.

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

Multiplicer 1002 og 5 for at få 5010.

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

Kombiner \frac{25}{12264}x og \frac{x}{5010} for at få \frac{22919}{10240440}x.

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

Multiplicer begge sider med \frac{10240440}{22919}, den reciprokke af \frac{22919}{10240440}.

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

Udtryk 60000\times \frac{10240440}{22919} som en enkelt brøk.

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

Multiplicer 60000 og 10240440 for at få 614426400000.

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