Whakaoti i te {l}{x+y+z=7}{z=-2y}{3x+6y-2z=0}

$$\left\{ \begin{array} { l } { x + y + z = 7 } \\ { z = - 2 y } \\ { 3 x + 6 y - 2 z = 0 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x = \frac{70}{13} = 5\frac{5}{13} \approx 5.384615385$$

$$y = -\frac{21}{13} = -1\frac{8}{13} \approx -1.615384615$$

$$z = \frac{42}{13} = 3\frac{3}{13} \approx 3.230769231$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$z=-2y x+y+z=7 3x+6y-2z=0$$

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

$$x+y-2y=7 3x+6y-2\left(-2\right)y=0$$

Me whakaoti ēnei whārite mō y me x takitahi.

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

Whakakapia te x-7 mō te y i te whārite x=-\frac{10}{3}y.

$$x=-\frac{10}{3}\left(x-7\right)$$

Me whakaoti te x=-\frac{10}{3}\left(x-7\right) mō x.

$$x=\frac{70}{13}$$

Whakakapia te \frac{70}{13} mō te x i te whārite y=x-7.

$$y=\frac{70}{13}-7$$

Tātaitia te y i te y=\frac{70}{13}-7.

$$y=-\frac{21}{13}$$

Whakakapia te -\frac{21}{13} mō te y i te whārite z=-2y.

$$z=-2\left(-\frac{21}{13}\right)$$

Tātaitia te z i te z=-2\left(-\frac{21}{13}\right).

$$z=\frac{42}{13}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{70}{13} y=-\frac{21}{13} z=\frac{42}{13}$$