Whakaoti i te {l}{x+y-2z=-24}{2x-y+5z=69}{x-2y+2z=3}

$$\left. \begin{array}{l}{ x + y - 2 z = - 24 }\\{ 2 x - y + 5 z = 69 }\\{ x - 2 y + 2 z = 3 }\end{array} \right.$$

Whakaoti mō x, y, z

$$x=-3$$

$$y=15$$

$$z=18$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y-2z=-24 mō x.

$$x=-y+2z-24$$

Whakakapia te -y+2z-24 mō te x i te whārite tuarua me te tuatoru.

$$2\left(-y+2z-24\right)-y+5z=69 -y+2z-24-2y+2z=3$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-39+3z z=\frac{27}{4}+\frac{3}{4}y$$

Whakakapia te -39+3z mō te y i te whārite z=\frac{27}{4}+\frac{3}{4}y.

$$z=\frac{27}{4}+\frac{3}{4}\left(-39+3z\right)$$

Me whakaoti te z=\frac{27}{4}+\frac{3}{4}\left(-39+3z\right) mō z.

$$z=18$$

Whakakapia te 18 mō te z i te whārite y=-39+3z.

$$y=-39+3\times 18$$

Tātaitia te y i te y=-39+3\times 18.

$$y=15$$

Whakakapia te 15 mō te y me te 18 mō z i te whārite x=-y+2z-24.

$$x=-15+2\times 18-24$$

Tātaitia te x i te x=-15+2\times 18-24.

$$x=-3$$

Kua oti te pūnaha te whakatau.

$$x=-3 y=15 z=18$$