Whakaoti i te {c}{3x+2y-2z=-8}{4x+2y-3z=-10}{-3x+8y-z=2}

$$\left. \begin{array} { c } { 3 x + 2 y - 2 z = - 8 } \\ { 4 x + 2 y - 3 z = - 10 } \\ { - 3 x + 8 y - z = 2 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

$$y=-\frac{3}{4}=-0.75$$

$$z=-\frac{1}{2}=-0.5$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$-3x+8y-z=2 4x+2y-3z=-10 3x+2y-2z=-8$$

Me whakaoti te -3x+8y-z=2 mō z.

$$z=-3x+8y-2$$

Whakakapia te -3x+8y-2 mō te z i te whārite tuarua me te tuatoru.

$$4x+2y-3\left(-3x+8y-2\right)=-10 3x+2y-2\left(-3x+8y-2\right)=-8$$

Me whakaoti ēnei whārite mō y me x takitahi.

$$y=\frac{13}{22}x+\frac{8}{11} x=-\frac{4}{3}+\frac{14}{9}y$$

Whakakapia te \frac{13}{22}x+\frac{8}{11} mō te y i te whārite x=-\frac{4}{3}+\frac{14}{9}y.

$$x=-\frac{4}{3}+\frac{14}{9}\left(\frac{13}{22}x+\frac{8}{11}\right)$$

Me whakaoti te x=-\frac{4}{3}+\frac{14}{9}\left(\frac{13}{22}x+\frac{8}{11}\right) mō x.

$$x=-\frac{5}{2}$$

Whakakapia te -\frac{5}{2} mō te x i te whārite y=\frac{13}{22}x+\frac{8}{11}.

$$y=\frac{13}{22}\left(-\frac{5}{2}\right)+\frac{8}{11}$$

Tātaitia te y i te y=\frac{13}{22}\left(-\frac{5}{2}\right)+\frac{8}{11}.

$$y=-\frac{3}{4}$$

Whakakapia te -\frac{3}{4} mō te y me te -\frac{5}{2} mō x i te whārite z=-3x+8y-2.

$$z=-3\left(-\frac{5}{2}\right)+8\left(-\frac{3}{4}\right)-2$$

Tātaitia te z i te z=-3\left(-\frac{5}{2}\right)+8\left(-\frac{3}{4}\right)-2.

$$z=-\frac{1}{2}$$

Kua oti te pūnaha te whakatau.

$$x=-\frac{5}{2} y=-\frac{3}{4} z=-\frac{1}{2}$$