Whakaoti i te {l}{2=16a-8b+4c}{0=-32a+12b-45}{2=-80a+16b}

$$\left\{ \begin{array} { l } { 2 = 16 a - 8 b + 4 c } \\ { 0 = - 32 a + 12 b - 45 } \\ { 2 = - 80 a + 16 b } \end{array} \right.$$

Whakaoti mō a, b, c

$$a = \frac{87}{56} = 1\frac{31}{56} \approx 1.553571429$$

$$b = \frac{221}{28} = 7\frac{25}{28} \approx 7.892857143$$

$$c = \frac{141}{14} = 10\frac{1}{14} \approx 10.071428571$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 2=16a-8b+4c mō a.

$$a=\frac{1}{8}+\frac{1}{2}b-\frac{1}{4}c$$

Whakakapia te \frac{1}{8}+\frac{1}{2}b-\frac{1}{4}c mō te a i te whārite tuarua me te tuatoru.

$$0=-32\left(\frac{1}{8}+\frac{1}{2}b-\frac{1}{4}c\right)+12b-45 2=-80\left(\frac{1}{8}+\frac{1}{2}b-\frac{1}{4}c\right)+16b$$

Me whakaoti ēnei whārite mō b me c takitahi.

$$b=-\frac{49}{4}+2c c=\frac{3}{5}+\frac{6}{5}b$$

Whakakapia te -\frac{49}{4}+2c mō te b i te whārite c=\frac{3}{5}+\frac{6}{5}b.

$$c=\frac{3}{5}+\frac{6}{5}\left(-\frac{49}{4}+2c\right)$$

Me whakaoti te c=\frac{3}{5}+\frac{6}{5}\left(-\frac{49}{4}+2c\right) mō c.

$$c=\frac{141}{14}$$

Whakakapia te \frac{141}{14} mō te c i te whārite b=-\frac{49}{4}+2c.

$$b=-\frac{49}{4}+2\times \frac{141}{14}$$

Tātaitia te b i te b=-\frac{49}{4}+2\times \frac{141}{14}.

$$b=\frac{221}{28}$$

Whakakapia te \frac{221}{28} mō te b me te \frac{141}{14} mō c i te whārite a=\frac{1}{8}+\frac{1}{2}b-\frac{1}{4}c.

$$a=\frac{1}{8}+\frac{1}{2}\times \frac{221}{28}-\frac{1}{4}\times \frac{141}{14}$$

Tātaitia te a i te a=\frac{1}{8}+\frac{1}{2}\times \frac{221}{28}-\frac{1}{4}\times \frac{141}{14}.

$$a=\frac{87}{56}$$

Kua oti te pūnaha te whakatau.

$$a=\frac{87}{56} b=\frac{221}{28} c=\frac{141}{14}$$