Whakaoti i te {r}{x+2y-z=-7}{x+z=3}{2x-y-z=-9}

$$\left\{ \begin{array} { r } { x + 2 y - z = - 7 } \\ { x + z = 3 } \\ { 2 x - y - z = - 9 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=-2$$

$$y=0$$

$$z=5$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+2y-z=-7 mō x.

$$x=-2y+z-7$$

Whakakapia te -2y+z-7 mō te x i te whārite tuarua me te tuatoru.

$$-2y+z-7+z=3 2\left(-2y+z-7\right)-y-z=-9$$

Me whakaoti ēnei whārite mō y me z takitahi.

$$y=-5+z z=5+5y$$

Whakakapia te -5+z mō te y i te whārite z=5+5y.

$$z=5+5\left(-5+z\right)$$

Me whakaoti te z=5+5\left(-5+z\right) mō z.

$$z=5$$

Whakakapia te 5 mō te z i te whārite y=-5+z.

$$y=-5+5$$

Tātaitia te y i te y=-5+5.

$$y=0$$

Whakakapia te 0 mō te y me te 5 mō z i te whārite x=-2y+z-7.

$$x=-2\times 0+5-7$$

Tātaitia te x i te x=-2\times 0+5-7.

$$x=-2$$

Kua oti te pūnaha te whakatau.

$$x=-2 y=0 z=5$$