Atrisiniet 1/c_{T}=1/2+1/9+1/2+frac{1}{6}+frac{1}{12}

$$\frac { 1 } { c _ { T } } = \frac { 1 } { 2 } + \frac { 1 } { 9 } + \frac { 1 } { 2 } + \frac { 1 } { 6 } + \frac { 1 } { 12 }$$

Atrast c_T

$$c_{T}=\frac{36}{49}\approx 0,734693878$$

Lineāra vienādojuma risināšanas darbības

Mainīgais c_{T} nevar būt vienāds ar 0, jo dalīšana ar nulli nav definēta. Reiziniet abas vienādojuma puses ar 36c_{T}, kas ir mazākais c_{T},2,9,6,12 skaitlis, kas dalās bez atlikuma.

$$36=36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Reiziniet 36 un \frac{1}{2}, lai iegūtu \frac{36}{2}.

$$36=\frac{36}{2}c_{T}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Daliet 36 ar 2, lai iegūtu 18.

$$36=18c_{T}+36c_{T}\times \frac{1}{9}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Reiziniet 36 un \frac{1}{9}, lai iegūtu \frac{36}{9}.

$$36=18c_{T}+\frac{36}{9}c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Daliet 36 ar 9, lai iegūtu 4.

$$36=18c_{T}+4c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Savelciet 18c_{T} un 4c_{T}, lai iegūtu 22c_{T}.

$$36=22c_{T}+36c_{T}\times \frac{1}{2}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Reiziniet 36 un \frac{1}{2}, lai iegūtu \frac{36}{2}.

$$36=22c_{T}+\frac{36}{2}c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Daliet 36 ar 2, lai iegūtu 18.

$$36=22c_{T}+18c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Savelciet 22c_{T} un 18c_{T}, lai iegūtu 40c_{T}.

$$36=40c_{T}+36c_{T}\times \frac{1}{6}+36c_{T}\times \frac{1}{12}$$

Reiziniet 36 un \frac{1}{6}, lai iegūtu \frac{36}{6}.

$$36=40c_{T}+\frac{36}{6}c_{T}+36c_{T}\times \frac{1}{12}$$

Daliet 36 ar 6, lai iegūtu 6.

$$36=40c_{T}+6c_{T}+36c_{T}\times \frac{1}{12}$$

Savelciet 40c_{T} un 6c_{T}, lai iegūtu 46c_{T}.

$$36=46c_{T}+36c_{T}\times \frac{1}{12}$$

Reiziniet 36 un \frac{1}{12}, lai iegūtu \frac{36}{12}.

$$36=46c_{T}+\frac{36}{12}c_{T}$$

Daliet 36 ar 12, lai iegūtu 3.

$$36=46c_{T}+3c_{T}$$

Savelciet 46c_{T} un 3c_{T}, lai iegūtu 49c_{T}.

$$36=49c_{T}$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$49c_{T}=36$$

Daliet abas puses ar 49.

$$c_{T}=\frac{36}{49}$$