Whakaoti i te {l}{x+y+5z=15}{y+3z=14}{2y=1}

$$\left\{ \begin{array}{l}{ x + y + 5 z = 15 }\\{ y + 3 z = 14 }\\{ 2 y = 1 }\end{array} \right.$$

Whakaoti mō x, y, z

$$x=-8$$

$$y=\frac{1}{2}=0.5$$

$$z = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Ngā Upane Otinga

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

$$y=\frac{1}{2}$$

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

$$\frac{1}{2}+3z=14$$

Tangohia te \frac{1}{2} mai i ngā taha e rua.

$$3z=14-\frac{1}{2}$$

Tangohia te \frac{1}{2} i te 14, ka \frac{27}{2}.

$$3z=\frac{27}{2}$$

Whakawehea ngā taha e rua ki te 3.

$$z=\frac{\frac{27}{2}}{3}$$

Tuhia te \frac{\frac{27}{2}}{3} hei hautanga kotahi.

$$z=\frac{27}{2\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$z=\frac{27}{6}$$

Whakahekea te hautanga \frac{27}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$z=\frac{9}{2}$$

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

$$x+\frac{1}{2}+5\times \frac{9}{2}=15$$

Whakareatia te 5 ki te \frac{9}{2}, ka \frac{45}{2}.

$$x+\frac{1}{2}+\frac{45}{2}=15$$

Tāpirihia te \frac{1}{2} ki te \frac{45}{2}, ka 23.

$$x+23=15$$

Tangohia te 23 mai i ngā taha e rua.

$$x=15-23$$

Tangohia te 23 i te 15, ka -8.

$$x=-8$$

Kua oti te pūnaha te whakatau.

$$x=-8 y=\frac{1}{2} z=\frac{9}{2}$$