Whakaoti i te {l}{21=5I_{1}+6I_{2}}{14=10I_{3}+6I_{2}}{I_{1}=I_{2}-I_{3}}

$$\left. \begin{array}{l}{ 21 = 5 I _ { 1 } + 6 I _ { 2 } }\\{ 14 = 10 I _ { 3 } + 6 I _ { 2 } }\\{ I _ { 1 } = I _ { 2 } - I _ { 3 } }\end{array} \right.$$

Whakaoti mō I_1, I_2, I_3

$$I_{1} = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

$$I_{2}=2$$

$$I_{3}=\frac{1}{5}=0.2$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$I_{1}=I_{2}-I_{3} 14=10I_{3}+6I_{2} 21=5I_{1}+6I_{2}$$

Whakakapia te I_{2}-I_{3} mō te I_{1} i te whārite 21=5I_{1}+6I_{2}.

$$21=5\left(I_{2}-I_{3}\right)+6I_{2}$$

Me whakaoti te whārite tuarua mō I_{2} me te whārite tuatoru mō I_{3}.

$$I_{2}=\frac{7}{3}-\frac{5}{3}I_{3} I_{3}=\frac{11}{5}I_{2}-\frac{21}{5}$$

Whakakapia te \frac{7}{3}-\frac{5}{3}I_{3} mō te I_{2} i te whārite I_{3}=\frac{11}{5}I_{2}-\frac{21}{5}.

$$I_{3}=\frac{11}{5}\left(\frac{7}{3}-\frac{5}{3}I_{3}\right)-\frac{21}{5}$$

Me whakaoti te I_{3}=\frac{11}{5}\left(\frac{7}{3}-\frac{5}{3}I_{3}\right)-\frac{21}{5} mō I_{3}.

$$I_{3}=\frac{1}{5}$$

Whakakapia te \frac{1}{5} mō te I_{3} i te whārite I_{2}=\frac{7}{3}-\frac{5}{3}I_{3}.

$$I_{2}=\frac{7}{3}-\frac{5}{3}\times \frac{1}{5}$$

Tātaitia te I_{2} i te I_{2}=\frac{7}{3}-\frac{5}{3}\times \frac{1}{5}.

$$I_{2}=2$$

Whakakapia te 2 mō te I_{2} me te \frac{1}{5} mō I_{3} i te whārite I_{1}=I_{2}-I_{3}.

$$I_{1}=2-\frac{1}{5}$$

Tātaitia te I_{1} i te I_{1}=2-\frac{1}{5}.

$$I_{1}=\frac{9}{5}$$

Kua oti te pūnaha te whakatau.

$$I_{1}=\frac{9}{5} I_{2}=2 I_{3}=\frac{1}{5}$$