Whakaoti i te {l}{50{(x/2)}=795}{y=5{(x)}+2{(3x)}+2x+0}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 50 {(\frac{x}{2})} = 795 }\\ { y = 5 {(x)} + 2 {(3 x)} + 2 x + 0 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Whakaoti mō x, y, z

$$z = \frac{2067}{5} = 413\frac{2}{5} = 413.4$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakawehea ngā taha e rua ki te 50.

$$\frac{x}{2}=\frac{795}{50}$$

Whakahekea te hautanga \frac{795}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{x}{2}=\frac{159}{10}$$

Me whakarea ngā taha e rua ki te 2.

$$x=\frac{159}{10}\times 2$$

Whakareatia te \frac{159}{10} ki te 2, ka \frac{159}{5}.

$$x=\frac{159}{5}$$

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

$$y=5\times \frac{159}{5}+2\times 3\times \frac{159}{5}+2\times \frac{159}{5}+0$$

Whakareatia te 5 ki te \frac{159}{5}, ka 159.

$$y=159+2\times 3\times \frac{159}{5}+2\times \frac{159}{5}+0$$

Whakareatia te 2 ki te 3, ka 6.

$$y=159+6\times \frac{159}{5}+2\times \frac{159}{5}+0$$

Whakareatia te 6 ki te \frac{159}{5}, ka \frac{954}{5}.

$$y=159+\frac{954}{5}+2\times \frac{159}{5}+0$$

Tāpirihia te 159 ki te \frac{954}{5}, ka \frac{1749}{5}.

$$y=\frac{1749}{5}+2\times \frac{159}{5}+0$$

Whakareatia te 2 ki te \frac{159}{5}, ka \frac{318}{5}.

$$y=\frac{1749}{5}+\frac{318}{5}+0$$

Tāpirihia te \frac{1749}{5} ki te \frac{318}{5}, ka \frac{2067}{5}.

$$y=\frac{2067}{5}+0$$

Tāpirihia te \frac{2067}{5} ki te 0, ka \frac{2067}{5}.

$$y=\frac{2067}{5}$$

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

$$z=\frac{2067}{5}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{159}{5} y=\frac{2067}{5} z=\frac{2067}{5}$$