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

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

Whakaoti mō x, y, z

$$x=5$$

$$y=3$$

$$z=3$$

Ngā Upane Otinga

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

$$z=\frac{-6}{-2}$$

Whakawehea te -6 ki te -2, kia riro ko 3.

$$z=3$$

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

$$4y-3\times 3=3$$

Whakareatia te -3 ki te 3, ka -9.

$$4y-9=3$$

Me tāpiri te 9 ki ngā taha e rua.

$$4y=3+9$$

Tāpirihia te 3 ki te 9, ka 12.

$$4y=12$$

Whakawehea ngā taha e rua ki te 4.

$$y=\frac{12}{4}$$

Whakawehea te 12 ki te 4, kia riro ko 3.

$$y=3$$

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

$$-6x+6\times 3+5\times 3=3$$

Mahia ngā whakarea.

$$-6x+18+15=3$$

Tāpirihia te 18 ki te 15, ka 33.

$$-6x+33=3$$

Tangohia te 33 mai i ngā taha e rua.

$$-6x=3-33$$

Tangohia te 33 i te 3, ka -30.

$$-6x=-30$$

Whakawehea ngā taha e rua ki te -6.

$$x=\frac{-30}{-6}$$

Whakawehea te -30 ki te -6, kia riro ko 5.

$$x=5$$

Kua oti te pūnaha te whakatau.

$$x=5 y=3 z=3$$