Whakaoti i te {l}{3x=30}{2y+x=20}{2u+y=3}{z=x+y*u}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 3 x = 30 }\\ { 2 y + x = 20 }\\ { 2 u + y = 3 }\\ { z = x + y \cdot u }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Whakaoti mō x, y, u, z, a, b, c

$$c=5$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakawehea ngā taha e rua ki te 3.

$$x=\frac{30}{3}$$

Whakawehea te 30 ki te 3, kia riro ko 10.

$$x=10$$

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

$$2y+10=20$$

Tangohia te 10 mai i ngā taha e rua.

$$2y=20-10$$

Tangohia te 10 i te 20, ka 10.

$$2y=10$$

Whakawehea ngā taha e rua ki te 2.

$$y=\frac{10}{2}$$

Whakawehea te 10 ki te 2, kia riro ko 5.

$$y=5$$

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

$$2u+5=3$$

Tangohia te 5 mai i ngā taha e rua.

$$2u=3-5$$

Tangohia te 5 i te 3, ka -2.

$$2u=-2$$

Whakawehea ngā taha e rua ki te 2.

$$u=\frac{-2}{2}$$

Whakawehea te -2 ki te 2, kia riro ko -1.

$$u=-1$$

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

$$z=10+5\left(-1\right)$$

Whakareatia te 5 ki te -1, ka -5.

$$z=10-5$$

Tangohia te 5 i te 10, ka 5.

$$z=5$$

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

$$a=5$$

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

$$b=5$$

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

$$c=5$$

Kua oti te pūnaha te whakatau.

$$x=10 y=5 u=-1 z=5 a=5 b=5 c=5$$