Réitigh 8-02dt/1+t=175dθ

$$\frac { 8 - 02 d t } { 1 + t } = 175 d \theta$$

Réitigh do d.

$$d=\frac{8}{175t\theta +2t+175\theta }$$

$$\left(\theta =-\frac{2}{175}\text{ or }t\neq -\frac{175\theta }{175\theta +2}\right)\text{ and }t\neq -1$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Méadaigh an dá thaobh den chothromóid faoi t+1.

$$8-2dt=175d\theta \left(t+1\right)$$

Úsáid an t-airí dáileach chun 175d\theta a mhéadú faoi t+1.

$$8-2dt=175d\theta t+175d\theta$$

Bain 175d\theta t ón dá thaobh.

$$8-2dt-175d\theta t=175d\theta$$

Bain 175d\theta ón dá thaobh.

$$8-2dt-175d\theta t-175d\theta =0$$

Bain 8 ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.

$$-2dt-175d\theta t-175d\theta =-8$$

Comhcheangail na téarmaí ar fad ina bhfuil d.

$$\left(-2t-175\theta t-175\theta \right)d=-8$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(-175t\theta -2t-175\theta \right)d=-8$$

Roinn an dá thaobh faoi -175t\theta -2t-175\theta .

$$\frac{\left(-175t\theta -2t-175\theta \right)d}{-175t\theta -2t-175\theta }=-\frac{8}{-175t\theta -2t-175\theta }$$

Má roinntear é faoi -175t\theta -2t-175\theta cuirtear an iolrúchán faoi -175t\theta -2t-175\theta ar ceal.

$$d=-\frac{8}{-175t\theta -2t-175\theta }$$

Roinn -8 faoi -175t\theta -2t-175\theta .

$$d=\frac{8}{175t\theta +2t+175\theta }$$

Réitigh do t.

$$\left\{\begin{matrix}t=\frac{8-175d\theta }{d\left(175\theta +2\right)}\text{, }&d\neq -4\text{ and }\theta \neq -\frac{2}{175}\text{ and }d\neq 0\\t\neq -1\text{, }&\theta =-\frac{2}{175}\text{ and }d=-4\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Ní féidir leis an athróg t a bheith comhionann le -1 toisc nach bhfuil an roinnt faoi nialas sainithe. Méadaigh an dá thaobh den chothromóid faoi t+1.

$$8-2dt=175d\theta \left(t+1\right)$$

Úsáid an t-airí dáileach chun 175d\theta a mhéadú faoi t+1.

$$8-2dt=175d\theta t+175d\theta$$

Bain 175d\theta t ón dá thaobh.

$$8-2dt-175d\theta t=175d\theta$$

Bain 8 ón dá thaobh.

$$-2dt-175d\theta t=175d\theta -8$$

Comhcheangail na téarmaí ar fad ina bhfuil t.

$$\left(-2d-175d\theta \right)t=175d\theta -8$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$\left(-175d\theta -2d\right)t=175d\theta -8$$

Roinn an dá thaobh faoi -2d-175\theta d.

$$\frac{\left(-175d\theta -2d\right)t}{-175d\theta -2d}=\frac{175d\theta -8}{-175d\theta -2d}$$

Má roinntear é faoi -2d-175\theta d cuirtear an iolrúchán faoi -2d-175\theta d ar ceal.

$$t=\frac{175d\theta -8}{-175d\theta -2d}$$

Roinn 175d\theta -8 faoi -2d-175\theta d.

$$t=\frac{175d\theta -8}{-d\left(175\theta +2\right)}$$

Ní féidir leis an athróg t a bheith comhionann le -1.

$$t=\frac{175d\theta -8}{-d\left(175\theta +2\right)}\text{, }t\neq -1$$