Whakaoti i te {c}{a+2b+3c=0}{2a+5b+7c=0}{3a+7b+(10+8)c=0}

$$\left\{ \begin{array} { c } { a + 2 b + 3 c = 0 } \\ { 2 a + 5 b + 7 c = 0 } \\ { 3 a + 7 b + ( 10 + 8 ) c = 0 } \end{array} \right.$$

Whakaoti mō a, b, c

$$a=0$$

$$b=0$$

$$c=0$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te a+2b+3c=0 mō a.

$$a=-2b-3c$$

Whakakapia te -2b-3c mō te a i te whārite tuarua me te tuatoru.

$$2\left(-2b-3c\right)+5b+7c=0 3\left(-2b-3c\right)+7b+\left(10+8\right)c=0$$

Me whakaoti ēnei whārite mō b me c takitahi.

$$b=-c c=-\frac{1}{9}b$$

Whakakapia te -c mō te b i te whārite c=-\frac{1}{9}b.

$$c=-\frac{1}{9}\left(-1\right)c$$

Me whakaoti te c=-\frac{1}{9}\left(-1\right)c mō c.

$$c=0$$

Whakakapia te 0 mō te c i te whārite b=-c.

$$b=-0$$

Tātaitia te b i te b=-0.

$$b=0$$

Whakakapia te 0 mō te b me te 0 mō c i te whārite a=-2b-3c.

$$a=-2\times 0-3\times 0$$

Tātaitia te a i te a=-2\times 0-3\times 0.

$$a=0$$

Kua oti te pūnaha te whakatau.

$$a=0 b=0 c=0$$