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

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

Whakaoti mō x, z, y

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

$$y = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

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

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te x+x+z=2 mō z.

$$z=2-2x$$

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

$$x-y+2-2x=-2 x-\left(2-2x\right)=y+2-2x$$

Me whakaoti ēnei whārite mō x me y takitahi.

$$x=-y+4 y=-4+5x$$

Whakakapia te -y+4 mō te x i te whārite y=-4+5x.

$$y=-4+5\left(-y+4\right)$$

Me whakaoti te y=-4+5\left(-y+4\right) mō y.

$$y=\frac{8}{3}$$

Whakakapia te \frac{8}{3} mō te y i te whārite x=-y+4.

$$x=-\frac{8}{3}+4$$

Tātaitia te x i te x=-\frac{8}{3}+4.

$$x=\frac{4}{3}$$

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

$$z=2-2\times \frac{4}{3}$$

Tātaitia te z i te z=2-2\times \frac{4}{3}.

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

Kua oti te pūnaha te whakatau.

$$x=\frac{4}{3} z=-\frac{2}{3} y=\frac{8}{3}$$