Whakaoti i te {c}{x+2y+3z=0}{3x+4y+4z=0}{7x+10y+12z=0}

$$\left. \begin{array} { c } { x + 2 y + 3 z = 0 } \\ { 3 x + 4 y + 4 z = 0 } \\ { 7 x + 10 y + 12 z = 0 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=0$$

$$y=0$$

$$z=0$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+2y+3z=0 mō x.

$$x=-2y-3z$$

Whakakapia te -2y-3z mō te x i te whārite tuarua me te tuatoru.

$$3\left(-2y-3z\right)+4y+4z=0 7\left(-2y-3z\right)+10y+12z=0$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-\frac{5}{2}z z=-\frac{4}{9}y$$

Whakakapia te -\frac{5}{2}z mō te y i te whārite z=-\frac{4}{9}y.

$$z=-\frac{4}{9}\left(-\frac{5}{2}\right)z$$

Me whakaoti te z=-\frac{4}{9}\left(-\frac{5}{2}\right)z mō z.

$$z=0$$

Whakakapia te 0 mō te z i te whārite y=-\frac{5}{2}z.

$$y=-\frac{5}{2}\times 0$$

Tātaitia te y i te y=-\frac{5}{2}\times 0.

$$y=0$$

Whakakapia te 0 mō te y me te 0 mō z i te whārite x=-2y-3z.

$$x=-2\times 0-3\times 0$$

Tātaitia te x i te x=-2\times 0-3\times 0.

$$x=0$$

Kua oti te pūnaha te whakatau.

$$x=0 y=0 z=0$$