Whakaoti i te {l}{6x=30}{2y+2x=20}{6z+y=1}

$$\left\{ \begin{array} { l } { 6 x = 30 } \\ { 2 y + 2 x = 20 } \\ { 6 z + y = 1 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x=5$$

$$y=5$$

$$z=-\frac{2}{3}\approx -0.666666667$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakawehea ngā taha e rua ki te 6.

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

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

$$x=5$$

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

$$2y+2\times 5=20$$

Whakareatia te 2 ki te 5, ka 10.

$$2y+10=20$$

Tangohia te 10 mai i ngā taha e rua.

$$2y=20-10$$

Tangohia te 10 i te 20, 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 tuatoru. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$6z+5=1$$

Tangohia te 5 mai i ngā taha e rua.

$$6z=1-5$$

Tangohia te 5 i te 1, ka -4.

$$6z=-4$$

Whakawehea ngā taha e rua ki te 6.

$$z=\frac{-4}{6}$$

Whakahekea te hautanga \frac{-4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$z=-\frac{2}{3}$$

Kua oti te pūnaha te whakatau.

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