Whakaoti i te {l}{2x-3y+z=-1}{6x-9y-4z=4}{4x+6y-z=5}

$$\left. \begin{array} { l } { 2 x - 3 y + z = - 1 } \\ { 6 x - 9 y - 4 z = 4 } \\ { 4 x + 6 y - z = 5 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=\frac{1}{2}=0.5$$

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

$$z=-1$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me whakaoti te 2x-3y+z=-1 mō z.

$$z=-2x+3y-1$$

Whakakapia te -2x+3y-1 mō te z i te whārite tuarua me te tuatoru.

$$6x-9y-4\left(-2x+3y-1\right)=4 4x+6y-\left(-2x+3y-1\right)=5$$

Me whakaoti ēnei whārite mō y me x takitahi.

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

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

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

Me whakaoti te x=-\frac{1}{2}\times \frac{2}{3}x+\frac{2}{3} mō x.

$$x=\frac{1}{2}$$

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

$$y=\frac{2}{3}\times \frac{1}{2}$$

Tātaitia te y i te y=\frac{2}{3}\times \frac{1}{2}.

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

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

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

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

$$z=-1$$

Kua oti te pūnaha te whakatau.

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