Whakaoti i te {l}{2x-y-z=1}{2x-3y-4z=0}{x+y-z=4}

$$\left. \begin{array} { l } { 2 x - y - z = 1 } \\ { 2 x - 3 y - 4 z = 0 } \\ { x + y - z = 4 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=1$$

$$y=2$$

$$z=-1$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 2x-y-z=1 mō y.

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

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

$$2x-3\left(2x-z-1\right)-4z=0 x+2x-z-1-z=4$$

Me whakaoti ēnei whārite mō x me z takitahi.

$$x=\frac{3}{4}-\frac{1}{4}z z=\frac{3}{2}x-\frac{5}{2}$$

Whakakapia te \frac{3}{4}-\frac{1}{4}z mō te x i te whārite z=\frac{3}{2}x-\frac{5}{2}.

$$z=\frac{3}{2}\left(\frac{3}{4}-\frac{1}{4}z\right)-\frac{5}{2}$$

Me whakaoti te z=\frac{3}{2}\left(\frac{3}{4}-\frac{1}{4}z\right)-\frac{5}{2} mō z.

$$z=-1$$

Whakakapia te -1 mō te z i te whārite x=\frac{3}{4}-\frac{1}{4}z.

$$x=\frac{3}{4}-\frac{1}{4}\left(-1\right)$$

Tātaitia te x i te x=\frac{3}{4}-\frac{1}{4}\left(-1\right).

$$x=1$$

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

$$y=2\times 1-\left(-1\right)-1$$

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

$$y=2$$

Kua oti te pūnaha te whakatau.

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