Whakaoti i te {l}{2x+y=7}{2y+z=8}{2z+x=9}

$$\left\{ \begin{array} { l } { 2 x + y = 7 } \\ { 2 y + z = 8 } \\ { 2 z + x = 9 } \end{array} \right.$$

Whakaoti mō x, y, z

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

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

$$z = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 2x+y=7 mō y.

$$y=-2x+7$$

Whakakapia te -2x+7 mō te y i te whārite 2y+z=8.

$$2\left(-2x+7\right)+z=8$$

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

$$x=\frac{3}{2}+\frac{1}{4}z z=-\frac{1}{2}x+\frac{9}{2}$$

Whakakapia te \frac{3}{2}+\frac{1}{4}z mō te x i te whārite z=-\frac{1}{2}x+\frac{9}{2}.

$$z=-\frac{1}{2}\left(\frac{3}{2}+\frac{1}{4}z\right)+\frac{9}{2}$$

Me whakaoti te z=-\frac{1}{2}\left(\frac{3}{2}+\frac{1}{4}z\right)+\frac{9}{2} mō z.

$$z=\frac{10}{3}$$

Whakakapia te \frac{10}{3} mō te z i te whārite x=\frac{3}{2}+\frac{1}{4}z.

$$x=\frac{3}{2}+\frac{1}{4}\times \frac{10}{3}$$

Tātaitia te x i te x=\frac{3}{2}+\frac{1}{4}\times \frac{10}{3}.

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

Whakakapia te \frac{7}{3} mō te x i te whārite y=-2x+7.

$$y=-2\times \frac{7}{3}+7$$

Tātaitia te y i te y=-2\times \frac{7}{3}+7.

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

Kua oti te pūnaha te whakatau.

$$x=\frac{7}{3} y=\frac{7}{3} z=\frac{10}{3}$$