Issolvi 8-0.2dt/1+t=1.75dθ

$$\frac { 8 - 0.2 d t } { 1 + t } = 1.75 d \theta$$

Solvi għal d

$$d=\frac{160}{35t\theta +4t+35\theta }$$

$$\left(\theta =-\frac{4}{35}\text{ or }t\neq -\frac{35\theta }{35\theta +4}\right)\text{ and }t\neq -1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b't+1.

$$8-0.2dt=1.75d\theta \left(t+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 1.75d\theta b't+1.

$$8-0.2dt=1.75d\theta t+1.75d\theta$$

Naqqas 1.75d\theta t miż-żewġ naħat.

$$8-0.2dt-1.75d\theta t=1.75d\theta$$

Naqqas 1.75d\theta miż-żewġ naħat.

$$8-0.2dt-1.75d\theta t-1.75d\theta =0$$

Naqqas 8 miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-0.2dt-1.75d\theta t-1.75d\theta =-8$$

Ikkombina t-termini kollha li fihom d.

$$\left(-0.2t-1.75\theta t-1.75\theta \right)d=-8$$

L-ekwazzjoni hija f'forma standard.

$$\left(-\frac{7t\theta }{4}-\frac{t}{5}-\frac{7\theta }{4}\right)d=-8$$

Iddividi ż-żewġ naħat b'-0.2t-1.75\theta t-1.75\theta .

$$\frac{\left(-\frac{7t\theta }{4}-\frac{t}{5}-\frac{7\theta }{4}\right)d}{-\frac{7t\theta }{4}-\frac{t}{5}-\frac{7\theta }{4}}=-\frac{8}{-\frac{7t\theta }{4}-\frac{t}{5}-\frac{7\theta }{4}}$$

Meta tiddividi b'-0.2t-1.75\theta t-1.75\theta titneħħa l-multiplikazzjoni b'-0.2t-1.75\theta t-1.75\theta .

$$d=-\frac{8}{-\frac{7t\theta }{4}-\frac{t}{5}-\frac{7\theta }{4}}$$

Iddividi -8 b'-0.2t-1.75\theta t-1.75\theta .

$$d=\frac{8}{\frac{7t\theta }{4}+\frac{t}{5}+\frac{7\theta }{4}}$$

Solvi għal t

$$\left\{\begin{matrix}\\t\neq -1\text{, }&\text{unconditionally}\\t=-\frac{5\left(7d\theta -32\right)}{d\left(35\theta +4\right)}\text{, }&d\neq -40\text{ and }\theta \neq -\frac{4}{35}\text{ and }d\neq 0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli t ma jistax ikun ugwali għal -1 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b't+1.

$$8-0.2dt=1.75d\theta \left(t+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 1.75d\theta b't+1.

$$8-0.2dt=1.75d\theta t+1.75d\theta$$

Naqqas 1.75d\theta t miż-żewġ naħat.

$$8-0.2dt-1.75d\theta t=1.75d\theta$$

Naqqas 8 miż-żewġ naħat.

$$-0.2dt-1.75d\theta t=1.75d\theta -8$$

Ikkombina t-termini kollha li fihom t.

$$\left(-0.2d-1.75d\theta \right)t=1.75d\theta -8$$

L-ekwazzjoni hija f'forma standard.

$$\left(-\frac{7d\theta }{4}-\frac{d}{5}\right)t=\frac{7d\theta }{4}-8$$

Iddividi ż-żewġ naħat b'-0.2d-1.75d\theta .

$$\frac{\left(-\frac{7d\theta }{4}-\frac{d}{5}\right)t}{-\frac{7d\theta }{4}-\frac{d}{5}}=\frac{\frac{7d\theta }{4}-8}{-\frac{7d\theta }{4}-\frac{d}{5}}$$

Meta tiddividi b'-0.2d-1.75d\theta titneħħa l-multiplikazzjoni b'-0.2d-1.75d\theta .

$$t=\frac{\frac{7d\theta }{4}-8}{-\frac{7d\theta }{4}-\frac{d}{5}}$$

Iddividi \frac{7d\theta }{4}-8 b'-0.2d-1.75d\theta .

$$t=\frac{7d\theta -32}{-4d\left(\frac{7\theta }{4}+0.2\right)}$$

Il-varjabbi t ma jistax ikun ugwali għal -1.

$$t=\frac{7d\theta -32}{-4d\left(\frac{7\theta }{4}+0.2\right)}\text{, }t\neq -1$$