Whakaoti i te {l}{a+b+c=2}{2a+c=-1}{-b+c=-1}

$$\left. \begin{array}{l}{ a + b + c = 2 }\\{ 2 a + c = - 1 }\\{ - b + c = - 1 }\end{array} \right.$$

Whakaoti mō a, b, c

$$a=-1$$

$$b=2$$

$$c=1$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te a+b+c=2 mō a.

$$a=-b-c+2$$

Whakakapia te -b-c+2 mō te a i te whārite 2a+c=-1.

$$2\left(-b-c+2\right)+c=-1$$

Me whakaoti te whārite tuarua mō b me te whārite tuatoru mō c.

$$b=\frac{5}{2}-\frac{1}{2}c c=b-1$$

Whakakapia te \frac{5}{2}-\frac{1}{2}c mō te b i te whārite c=b-1.

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

Me whakaoti te c=\frac{5}{2}-\frac{1}{2}c-1 mō c.

$$c=1$$

Whakakapia te 1 mō te c i te whārite b=\frac{5}{2}-\frac{1}{2}c.

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

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

$$b=2$$

Whakakapia te 2 mō te b me te 1 mō c i te whārite a=-b-c+2.

$$a=-2-1+2$$

Tātaitia te a i te a=-2-1+2.

$$a=-1$$

Kua oti te pūnaha te whakatau.

$$a=-1 b=2 c=1$$