Whakaoti i te {l}{y=1}{y=-2x+6}{z=5x-1}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { y = 1 }\\ { y = -2 x + 6 }\\ { z = 5 x - 1 }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Whakaoti mō y, x, z, a

$$a = \frac{23}{2} = 11\frac{1}{2} = 11.5$$

Ngā Upane Otinga

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

$$1=-2x+6$$

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

$$-2x+6=1$$

Tangohia te 6 mai i ngā taha e rua.

$$-2x=1-6$$

Tangohia te 6 i te 1, ka -5.

$$-2x=-5$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-5}{-2}$$

Ka taea te hautanga \frac{-5}{-2} te whakamāmā ki te \frac{5}{2} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{5}{2}$$

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

$$z=5\times \frac{5}{2}-1$$

Whakareatia te 5 ki te \frac{5}{2}, ka \frac{25}{2}.

$$z=\frac{25}{2}-1$$

Tangohia te 1 i te \frac{25}{2}, ka \frac{23}{2}.

$$z=\frac{23}{2}$$

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

$$a=\frac{23}{2}$$

Kua oti te pūnaha te whakatau.

$$y=1 x=\frac{5}{2} z=\frac{23}{2} a=\frac{23}{2}$$