Whakaoti i te {l}{3x+8x+2x+x=24}{y=13x}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { 3 x + 8 x + 2 x + x = 24 }\\ { y = 13 x }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Whakaoti mō x, y, z, a

$$a = \frac{156}{7} = 22\frac{2}{7} \approx 22.285714286$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Pahekotia te 3x me 8x, ka 11x.

$$11x+2x+x=24$$

Pahekotia te 11x me 2x, ka 13x.

$$13x+x=24$$

Pahekotia te 13x me x, ka 14x.

$$14x=24$$

Whakawehea ngā taha e rua ki te 14.

$$x=\frac{24}{14}$$

Whakahekea te hautanga \frac{24}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{12}{7}$$

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

$$y=13\times \frac{12}{7}$$

Whakareatia te 13 ki te \frac{12}{7}, ka \frac{156}{7}.

$$y=\frac{156}{7}$$

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

$$z=\frac{156}{7}$$

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

$$a=\frac{156}{7}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{12}{7} y=\frac{156}{7} z=\frac{156}{7} a=\frac{156}{7}$$