Whakaoti i te {c}{8p+4q-3r=6}{p+3q-r=7}{4r-8=5q-4p}

$$\left\{ \begin{array} { c } { 8 p + 4 q - 3 r = 6 } \\ { p + 3 q - r = 7 } \\ { 4 r - 8 = 5 q - 4 p } \end{array} \right.$$

Whakaoti mō p, q, r

$$r=6$$

$$p=1$$

$$q=4$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$p+3q-r=7 8p+4q-3r=6 4r-8=5q-4p$$

Me whakaoti te p+3q-r=7 mō p.

$$p=-3q+r+7$$

Whakakapia te -3q+r+7 mō te p i te whārite tuarua me te tuatoru.

$$8\left(-3q+r+7\right)+4q-3r=6 4r-8=5q-4\left(-3q+r+7\right)$$

Me whakaoti ēnei whārite mō q me r takitahi.

$$q=\frac{5}{2}+\frac{1}{4}r r=-\frac{5}{2}+\frac{17}{8}q$$

Whakakapia te \frac{5}{2}+\frac{1}{4}r mō te q i te whārite r=-\frac{5}{2}+\frac{17}{8}q.

$$r=-\frac{5}{2}+\frac{17}{8}\left(\frac{5}{2}+\frac{1}{4}r\right)$$

Me whakaoti te r=-\frac{5}{2}+\frac{17}{8}\left(\frac{5}{2}+\frac{1}{4}r\right) mō r.

$$r=6$$

Whakakapia te 6 mō te r i te whārite q=\frac{5}{2}+\frac{1}{4}r.

$$q=\frac{5}{2}+\frac{1}{4}\times 6$$

Tātaitia te q i te q=\frac{5}{2}+\frac{1}{4}\times 6.

$$q=4$$

Whakakapia te 4 mō te q me te 6 mō r i te whārite p=-3q+r+7.

$$p=-3\times 4+6+7$$

Tātaitia te p i te p=-3\times 4+6+7.

$$p=1$$

Kua oti te pūnaha te whakatau.

$$p=1 q=4 r=6$$