Whakaoti i te {l}{2*{(frac{3*{(2)}+1}{2})}={(frac{1*{(2)}+1}{2})}x-1}{y=x+2}{z=y}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 2 \cdot {(\frac{3 \cdot {(2)} + 1}{2})} = {(\frac{1 \cdot {(2)} + 1}{2})} x - 1 }\\ { y = x + 2 }\\ { z = y }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Whakaoti mō x, y, z, a, b, c

$$c = \frac{22}{3} = 7\frac{1}{3} \approx 7.333333333$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakareatia ngā taha e rua o te whārite ki te 2.

$$2\left(3\times 2+1\right)=\left(1\times 2+1\right)x-2$$

Whakareatia te 3 ki te 2, ka 6.

$$2\left(6+1\right)=\left(1\times 2+1\right)x-2$$

Tāpirihia te 6 ki te 1, ka 7.

$$2\times 7=\left(1\times 2+1\right)x-2$$

Whakareatia te 2 ki te 7, ka 14.

$$14=\left(1\times 2+1\right)x-2$$

Whakareatia te 1 ki te 2, ka 2.

$$14=\left(2+1\right)x-2$$

Tāpirihia te 2 ki te 1, ka 3.

$$14=3x-2$$

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

$$3x-2=14$$

Me tāpiri te 2 ki ngā taha e rua.

$$3x=14+2$$

Tāpirihia te 14 ki te 2, ka 16.

$$3x=16$$

Whakawehea ngā taha e rua ki te 3.

$$x=\frac{16}{3}$$

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

$$y=\frac{16}{3}+2$$

Tāpirihia te \frac{16}{3} ki te 2, ka \frac{22}{3}.

$$y=\frac{22}{3}$$

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

$$z=\frac{22}{3}$$

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

$$a=\frac{22}{3}$$

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

$$b=\frac{22}{3}$$

Whakaarohia te whārite (6). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$c=\frac{22}{3}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{16}{3} y=\frac{22}{3} z=\frac{22}{3} a=\frac{22}{3} b=\frac{22}{3} c=\frac{22}{3}$$