Whakaoti i te {l}{x+y=2z}{x-y=29}{7x=51}

$$\left. \begin{array} { l } { x + y = 2 z } \\ { x - y = 29 } \\ { 7 x = 51 } \end{array} \right.$$

Whakaoti mō x, y, z

$$x = \frac{51}{7} = 7\frac{2}{7} \approx 7.285714286$$

$$y = -\frac{152}{7} = -21\frac{5}{7} \approx -21.714285714$$

$$z = -\frac{101}{14} = -7\frac{3}{14} \approx -7.214285714$$

Ngā Upane Otinga

Whakaarohia te whārite tuatoru. Whakawehea ngā taha e rua ki te 7.

$$x=\frac{51}{7}$$

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

$$\frac{51}{7}-y=29$$

Tangohia te \frac{51}{7} mai i ngā taha e rua.

$$-y=29-\frac{51}{7}$$

Tangohia te \frac{51}{7} i te 29, ka \frac{152}{7}.

$$-y=\frac{152}{7}$$

Whakawehea ngā taha e rua ki te -1.

$$y=\frac{\frac{152}{7}}{-1}$$

Tuhia te \frac{\frac{152}{7}}{-1} hei hautanga kotahi.

$$y=\frac{152}{7\left(-1\right)}$$

Whakareatia te 7 ki te -1, ka -7.

$$y=\frac{152}{-7}$$

Ka taea te hautanga \frac{152}{-7} te tuhi anō ko -\frac{152}{7} mā te tango i te tohu tōraro.

$$y=-\frac{152}{7}$$

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

$$\frac{51}{7}-\frac{152}{7}=2z$$

Tangohia te \frac{152}{7} i te \frac{51}{7}, ka -\frac{101}{7}.

$$-\frac{101}{7}=2z$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$2z=-\frac{101}{7}$$

Whakawehea ngā taha e rua ki te 2.

$$z=\frac{-\frac{101}{7}}{2}$$

Tuhia te \frac{-\frac{101}{7}}{2} hei hautanga kotahi.

$$z=\frac{-101}{7\times 2}$$

Whakareatia te 7 ki te 2, ka 14.

$$z=\frac{-101}{14}$$

Ka taea te hautanga \frac{-101}{14} te tuhi anō ko -\frac{101}{14} mā te tango i te tohu tōraro.

$$z=-\frac{101}{14}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{51}{7} y=-\frac{152}{7} z=-\frac{101}{14}$$