Whakaoti i te {l}{x=1/2}{y=3/4}{z=3y+2x}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { x = \frac{1}{2} }\\ { y = \frac{3}{4} }\\ { z = 3 y + 2 x }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Whakaoti mō x, y, z, a, b, c, d

$$d = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Ngā Upane Otinga

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

$$z=3\times \frac{3}{4}+2\times \frac{1}{2}$$

Whakareatia te 3 ki te \frac{3}{4}, ka \frac{9}{4}.

$$z=\frac{9}{4}+2\times \frac{1}{2}$$

Whakareatia te 2 ki te \frac{1}{2}, ka 1.

$$z=\frac{9}{4}+1$$

Tāpirihia te \frac{9}{4} ki te 1, ka \frac{13}{4}.

$$z=\frac{13}{4}$$

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

$$a=\frac{13}{4}$$

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

$$b=\frac{13}{4}$$

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

$$c=\frac{13}{4}$$

Whakaarohia te whārite (7). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$d=\frac{13}{4}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{1}{2} y=\frac{3}{4} z=\frac{13}{4} a=\frac{13}{4} b=\frac{13}{4} c=\frac{13}{4} d=\frac{13}{4}$$