Whakaoti i te {r}{-2x+y+3z=9}{2y-z=8}{-2z=-4}

$$\left\{ \begin{array} { r } { - 2 x + y + 3 z = 9 } \\ { 2 y - z = 8 } \\ { - 2 z = - 4 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=1$$

$$y=5$$

$$z=2$$

Ngā Upane Otinga

Whakaarohia te whārite tuatoru. Whakawehea ngā taha e rua ki te -2.

$$z=\frac{-4}{-2}$$

Whakawehea te -4 ki te -2, kia riro ko 2.

$$z=2$$

Whakaarohia te whārite tuarua. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$2y-2=8$$

Me tāpiri te 2 ki ngā taha e rua.

$$2y=8+2$$

Tāpirihia te 8 ki te 2, ka 10.

$$2y=10$$

Whakawehea ngā taha e rua ki te 2.

$$y=\frac{10}{2}$$

Whakawehea te 10 ki te 2, kia riro ko 5.

$$y=5$$

Whakaarohia te whārite tuatahi. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$-2x+5+3\times 2=9$$

Whakareatia te 3 ki te 2, ka 6.

$$-2x+5+6=9$$

Tāpirihia te 5 ki te 6, ka 11.

$$-2x+11=9$$

Tangohia te 11 mai i ngā taha e rua.

$$-2x=9-11$$

Tangohia te 11 i te 9, ka -2.

$$-2x=-2$$

Whakawehea ngā taha e rua ki te -2.

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

Whakawehea te -2 ki te -2, kia riro ko 1.

$$x=1$$

Kua oti te pūnaha te whakatau.

$$x=1 y=5 z=2$$