Whakaoti i te {c}{2x+2y+z=-2}{-x-2y+2z=-5}{2x+4y+z=0}

$$\left. \begin{array} { c } { 2 x + 2 y + z = - 2 } \\ { - x - 2 y + 2 z = - 5 } \\ { 2 x + 4 y + z = 0 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=-1$$

$$y=1$$

$$z=-2$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 2x+2y+z=-2 mō z.

$$z=-2-2x-2y$$

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

$$-x-2y+2\left(-2-2x-2y\right)=-5 2x+4y-2-2x-2y=0$$

Me whakaoti ēnei whārite mō x me y takitahi.

$$x=-\frac{6}{5}y+\frac{1}{5} y=1$$

Whakakapia te 1 mō te y i te whārite x=-\frac{6}{5}y+\frac{1}{5}.

$$x=-\frac{6}{5}+\frac{1}{5}$$

Tātaitia te x i te x=-\frac{6}{5}+\frac{1}{5}.

$$x=-1$$

Whakakapia te -1 mō te x me te 1 mō y i te whārite z=-2-2x-2y.

$$z=-2-2\left(-1\right)-2$$

Tātaitia te z i te z=-2-2\left(-1\right)-2.

$$z=-2$$

Kua oti te pūnaha te whakatau.

$$x=-1 y=1 z=-2$$