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

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

Solvi għal c_T

$$c_{T}=\frac{36}{49}\approx 0.734693878$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli c_{T} ma jistax ikun ugwali għal 0 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'36c_{T}, l-inqas denominatur komuni ta' c_{T},2,9,6,12.

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

Immultiplika 36 u \frac{1}{2} biex tikseb \frac{36}{2}.

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

Iddividi 36 b'2 biex tikseb18.

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

Immultiplika 36 u \frac{1}{9} biex tikseb \frac{36}{9}.

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

Iddividi 36 b'9 biex tikseb4.

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

Ikkombina 18c_{T} u 4c_{T} biex tikseb 22c_{T}.

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

Immultiplika 36 u \frac{1}{2} biex tikseb \frac{36}{2}.

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

Iddividi 36 b'2 biex tikseb18.

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

Ikkombina 22c_{T} u 18c_{T} biex tikseb 40c_{T}.

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

Immultiplika 36 u \frac{1}{6} biex tikseb \frac{36}{6}.

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

Iddividi 36 b'6 biex tikseb6.

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

Ikkombina 40c_{T} u 6c_{T} biex tikseb 46c_{T}.

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

Immultiplika 36 u \frac{1}{12} biex tikseb \frac{36}{12}.

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

Iddividi 36 b'12 biex tikseb3.

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

Ikkombina 46c_{T} u 3c_{T} biex tikseb 49c_{T}.

$$36=49c_{T}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$49c_{T}=36$$

Iddividi ż-żewġ naħat b'49.

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