Whakaoti i te {l}{3z=9}{-y+2z=5}{4x+3y-z=-8}

$$\left\{ \begin{array}{l}{ 3 z = 9 }\\{ - y + 2 z = 5 }\\{ 4 x + 3 y - z = - 8 }\end{array} \right.$$

Whakaoti mō z, y, x

$$x=-2$$

$$y=1$$

$$z=3$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakawehea ngā taha e rua ki te 3.

$$z=\frac{9}{3}$$

Whakawehea te 9 ki te 3, kia riro ko 3.

$$z=3$$

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

$$-y+2\times 3=5$$

Whakareatia te 2 ki te 3, ka 6.

$$-y+6=5$$

Tangohia te 6 mai i ngā taha e rua.

$$-y=5-6$$

Tangohia te 6 i te 5, ka -1.

$$-y=-1$$

Whakawehea ngā taha e rua ki te -1.

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

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

$$y=1$$

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

$$4x+3\times 1-3=-8$$

Mahia ngā whakarea.

$$4x+3-3=-8$$

Tangohia te 3 i te 3, ka 0.

$$4x=-8$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{-8}{4}$$

Whakawehea te -8 ki te 4, kia riro ko -2.

$$x=-2$$

Kua oti te pūnaha te whakatau.

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