Réitigh 140=19[1+45*10^-3(T-200)]

$$140 = 19 [ 1 + 45 \times 10 ^ { - 3 } ( T - 200 ) ]$$

Réitigh do T.

$$T = \frac{58400}{171} = 341\frac{89}{171} \approx 341.520467836$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Roinn an dá thaobh faoi 19.

$$\frac{140}{19}=1+45\times 10^{-3}\left(T-200\right)$$

Ríomh cumhacht 10 de -3 agus faigh \frac{1}{1000}.

$$\frac{140}{19}=1+45\times \frac{1}{1000}\left(T-200\right)$$

Méadaigh 45 agus \frac{1}{1000} chun \frac{9}{200} a fháil.

$$\frac{140}{19}=1+\frac{9}{200}\left(T-200\right)$$

Úsáid an t-airí dáileach chun \frac{9}{200} a mhéadú faoi T-200.

$$\frac{140}{19}=1+\frac{9}{200}T-9$$

Dealaigh 9 ó 1 chun -8 a fháil.

$$\frac{140}{19}=-8+\frac{9}{200}T$$

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$-8+\frac{9}{200}T=\frac{140}{19}$$

Cuir 8 leis an dá thaobh.

$$\frac{9}{200}T=\frac{140}{19}+8$$

Suimigh \frac{140}{19} agus 8 chun \frac{292}{19} a fháil.

$$\frac{9}{200}T=\frac{292}{19}$$

Iolraigh an dá thaobh faoi \frac{200}{9}, an deilín de \frac{9}{200}.

$$T=\frac{292}{19}\times \frac{200}{9}$$

Méadaigh \frac{292}{19} agus \frac{200}{9} chun \frac{58400}{171} a fháil.

$$T=\frac{58400}{171}$$