Whakaoti i te {l}{6x-2y+3w=-13}{5x+3y+2w=-2}{x-4y+6w=-4}

$$\left\{ \begin{array} { l } { 6 x - 2 y + 3 w = - 13 } \\ { 5 x + 3 y + 2 w = - 2 } \\ { x - 4 y + 6 w = - 4 } \end{array} \right.$$

Whakaoti mō x, y, w

$$x=-2$$

$$y=2$$

$$w=1$$

Ngā Hipanga Poto E Whakamahi Whakakapinga Ana

Me raupapa anō ngā whārite.

$$x-4y+6w=-4 5x+3y+2w=-2 6x-2y+3w=-13$$

Me whakaoti te x-4y+6w=-4 mō x.

$$x=-4+4y-6w$$

Whakakapia te -4+4y-6w mō te x i te whārite tuarua me te tuatoru.

$$5\left(-4+4y-6w\right)+3y+2w=-2 6\left(-4+4y-6w\right)-2y+3w=-13$$

Me whakaoti ēnei whārite mō y me w takitahi.

$$y=\frac{18}{23}+\frac{28}{23}w w=-\frac{1}{3}+\frac{2}{3}y$$

Whakakapia te \frac{18}{23}+\frac{28}{23}w mō te y i te whārite w=-\frac{1}{3}+\frac{2}{3}y.

$$w=-\frac{1}{3}+\frac{2}{3}\left(\frac{18}{23}+\frac{28}{23}w\right)$$

Me whakaoti te w=-\frac{1}{3}+\frac{2}{3}\left(\frac{18}{23}+\frac{28}{23}w\right) mō w.

$$w=1$$

Whakakapia te 1 mō te w i te whārite y=\frac{18}{23}+\frac{28}{23}w.

$$y=\frac{18}{23}+\frac{28}{23}\times 1$$

Tātaitia te y i te y=\frac{18}{23}+\frac{28}{23}\times 1.

$$y=2$$

Whakakapia te 2 mō te y me te 1 mō w i te whārite x=-4+4y-6w.

$$x=-4+4\times 2-6$$

Tātaitia te x i te x=-4+4\times 2-6.

$$x=-2$$

Kua oti te pūnaha te whakatau.

$$x=-2 y=2 w=1$$