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

$$x=-2$$

$$y=3$$

$$z=6$$

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.

$$x+y+2y=7 3x+6y-2\times 2y=0$$

Me whakaoti ēnei whārite mō y me x takitahi.

$$y=-\frac{1}{3}x+\frac{7}{3} x=-\frac{2}{3}y$$

Whakakapia te -\frac{1}{3}x+\frac{7}{3} mō te y i te whārite x=-\frac{2}{3}y.

$$x=-\frac{2}{3}\left(-\frac{1}{3}x+\frac{7}{3}\right)$$

Me whakaoti te x=-\frac{2}{3}\left(-\frac{1}{3}x+\frac{7}{3}\right) mō x.

$$x=-2$$

Whakakapia te -2 mō te x i te whārite y=-\frac{1}{3}x+\frac{7}{3}.

$$y=-\frac{1}{3}\left(-2\right)+\frac{7}{3}$$

Tātaitia te y i te y=-\frac{1}{3}\left(-2\right)+\frac{7}{3}.

$$y=3$$

Whakakapia te 3 mō te y i te whārite z=2y.

$$z=2\times 3$$

Tātaitia te z i te z=2\times 3.

$$z=6$$

Kua oti te pūnaha te whakatau.

$$x=-2 y=3 z=6$$