Whakaoti i te {l}{x+1-2y=0}{y+z-2=0}{2x+y-z-6=0}

$$\left\{ \begin{array} { l } { x + 1 - 2 y = 0 } \\ { y + z - 2 = 0 } \\ { 2 x + y - z - 6 = 0 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

$$y = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

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

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+1-2y=0 mō x.

$$x=-1+2y$$

Whakakapia te -1+2y mō te x i te whārite 2x+y-z-6=0.

$$2\left(-1+2y\right)+y-z-6=0$$

Me whakaoti te whārite tuarua mō y me te whārite tuatoru mō z.

$$y=-z+2 z=-8+5y$$

Whakakapia te -z+2 mō te y i te whārite z=-8+5y.

$$z=-8+5\left(-z+2\right)$$

Me whakaoti te z=-8+5\left(-z+2\right) mō z.

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

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

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

Tātaitia te y i te y=-\frac{1}{3}+2.

$$y=\frac{5}{3}$$

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

$$x=-1+2\times \frac{5}{3}$$

Tātaitia te x i te x=-1+2\times \frac{5}{3}.

$$x=\frac{7}{3}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{7}{3} y=\frac{5}{3} z=\frac{1}{3}$$