Réitigh {c}{(U_{1}-U_{2})1/2+1/10U_{1}+5I_{x}=2}{1/4U_{2}+(U_{2}-U_{1})1/2+5I_{x}=0}{I_{x}=frac{1}{3}}

$$\left. \begin{array} { c } { ( U _ { 1 } - U _ { 2 } ) \frac { 1 } { 2 } + \frac { 1 } { 10 } U _ { 1 } + 5 I _ { x } = 2 } \\ { \frac { 1 } { 4 } U _ { 2 } + ( U _ { 2 } - U _ { 1 } ) \frac { 1 } { 2 } + 5 I _ { x } = 0 } \\ { I _ { x } = \frac { 1 } { 3 } } \end{array} \right.$$

Réitigh do U_1,U_2,I_x.

$$U_{1} = -\frac{35}{12} = -2\frac{11}{12} \approx -2.916666667$$

$$U_{2} = -\frac{25}{6} = -4\frac{1}{6} \approx -4.166666667$$

$$I_{x}=\frac{1}{3}\approx 0.333333333$$

Céimeanna gearra ag baint úsáid as ionadú

Athraigh ord na gcothromóidí.

$$I_{x}=\frac{1}{3} \frac{1}{4}U_{2}+\left(U_{2}-U_{1}\right)\times \frac{1}{2}+5I_{x}=0 \left(U_{1}-U_{2}\right)\times \frac{1}{2}+\frac{1}{10}U_{1}+5I_{x}=2$$

Cuir \frac{1}{3} in ionad I_{x} sa dara agus sa tríú cothromóid.

$$\frac{1}{4}U_{2}+\left(U_{2}-U_{1}\right)\times \frac{1}{2}+5\times \frac{1}{3}=0 \left(U_{1}-U_{2}\right)\times \frac{1}{2}+\frac{1}{10}U_{1}+5\times \frac{1}{3}=2$$

Réitigh na cothromóidí seo do U_{2} agus U_{1} faoi seach.

$$U_{2}=-\frac{20}{9}+\frac{2}{3}U_{1} U_{1}=\frac{5}{9}+\frac{5}{6}U_{2}$$

Cuir -\frac{20}{9}+\frac{2}{3}U_{1} in ionad U_{2} sa chothromóid U_{1}=\frac{5}{9}+\frac{5}{6}U_{2}.

$$U_{1}=\frac{5}{9}+\frac{5}{6}\left(-\frac{20}{9}+\frac{2}{3}U_{1}\right)$$

Réitigh U_{1}=\frac{5}{9}+\frac{5}{6}\left(-\frac{20}{9}+\frac{2}{3}U_{1}\right) do U_{1}.

$$U_{1}=-\frac{35}{12}$$

Cuir -\frac{35}{12} in ionad U_{1} sa chothromóid U_{2}=-\frac{20}{9}+\frac{2}{3}U_{1}.

$$U_{2}=-\frac{20}{9}+\frac{2}{3}\left(-\frac{35}{12}\right)$$

Ríomh U_{2} ó U_{2}=-\frac{20}{9}+\frac{2}{3}\left(-\frac{35}{12}\right).

$$U_{2}=-\frac{25}{6}$$

Tá an córas réitithe anois.

$$U_{1}=-\frac{35}{12} U_{2}=-\frac{25}{6} I_{x}=\frac{1}{3}$$