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

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

Whakaoti mō x, y, z

$$x=\frac{2}{3}\approx 0.666666667$$

$$y=\frac{1}{3}\approx 0.333333333$$

$$z=\frac{2}{3}\approx 0.666666667$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+y-1=0 mō x.

$$x=-y+1$$

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

$$-y+1-z=0 -y+1-y+z=1$$

Me whakaoti ēnei whārite mō y me z takitahi.

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

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

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

Me whakaoti te z=2\left(1-z\right) mō z.

$$z=\frac{2}{3}$$

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

$$y=1-\frac{2}{3}$$

Tātaitia te y i te y=1-\frac{2}{3}.

$$y=\frac{1}{3}$$

Whakakapia te \frac{1}{3} mō te y i te whārite x=-y+1.

$$x=-\frac{1}{3}+1$$

Tātaitia te x i te x=-\frac{1}{3}+1.

$$x=\frac{2}{3}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{2}{3} y=\frac{1}{3} z=\frac{2}{3}$$