Whakaoti i te {c}{x+y+z=0}{2x-5y-3z=10}{4x+8y+2z=4}

$$\left\{ \begin{array} { c } { x + y + z = 0 } \\ { 2 x - 5 y - 3 z = 10 } \\ { 4 x + 8 y + 2 z = 4 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=2$$

$$y=0$$

$$z=-2$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y+z=0 mō x.

$$x=-y-z$$

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

$$2\left(-y-z\right)-5y-3z=10 4\left(-y-z\right)+8y+2z=4$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-\frac{10}{7}-\frac{5}{7}z z=-2+2y$$

Whakakapia te -\frac{10}{7}-\frac{5}{7}z mō te y i te whārite z=-2+2y.

$$z=-2+2\left(-\frac{10}{7}-\frac{5}{7}z\right)$$

Me whakaoti te z=-2+2\left(-\frac{10}{7}-\frac{5}{7}z\right) mō z.

$$z=-2$$

Whakakapia te -2 mō te z i te whārite y=-\frac{10}{7}-\frac{5}{7}z.

$$y=-\frac{10}{7}-\frac{5}{7}\left(-2\right)$$

Tātaitia te y i te y=-\frac{10}{7}-\frac{5}{7}\left(-2\right).

$$y=0$$

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

$$x=-0-\left(-2\right)$$

Tātaitia te x i te x=-0-\left(-2\right).

$$x=2$$

Kua oti te pūnaha te whakatau.

$$x=2 y=0 z=-2$$