Whakaoti i te {l}{2{(0*251*4*472.578+0.7486y)}=321.487}{y=0.1449x+0.2739*472.578+0.5812y}{z=x-0}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { 2 {(0 \cdot 251 \cdot 4 \cdot 472.578 + 0.7486 y)} = 321.487 }\\ { y = 0.1449 x + 0.2739 \cdot 472.578 + 0.5812 y }\\ { z = x - 0 }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Whakaoti mō y, x, z, a, b, c

$$c = -\frac{35212789393}{129133500} = -272\frac{88477393}{129133500} \approx -272.6851622$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Whakawehea ngā taha e rua ki te 2.

$$0\times 251\times 4\times 472.578+0.7486y=\frac{321.487}{2}$$

Whakarohaina te \frac{321.487}{2} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$0\times 251\times 4\times 472.578+0.7486y=\frac{321487}{2000}$$

Whakareatia te 0 ki te 251, ka 0.

$$0\times 4\times 472.578+0.7486y=\frac{321487}{2000}$$

Whakareatia te 0 ki te 4, ka 0.

$$0\times 472.578+0.7486y=\frac{321487}{2000}$$

Whakareatia te 0 ki te 472.578, ka 0.

$$0+0.7486y=\frac{321487}{2000}$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$0.7486y=\frac{321487}{2000}$$

Whakawehea ngā taha e rua ki te 0.7486.

$$y=\frac{\frac{321487}{2000}}{0.7486}$$

Tuhia te \frac{\frac{321487}{2000}}{0.7486} hei hautanga kotahi.

$$y=\frac{321487}{2000\times 0.7486}$$

Whakareatia te 2000 ki te 0.7486, ka 1497.2.

$$y=\frac{321487}{1497.2}$$

Whakarohaina te \frac{321487}{1497.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$y=\frac{3214870}{14972}$$

Whakahekea te hautanga \frac{3214870}{14972} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$y=\frac{1607435}{7486}$$

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

$$\frac{1607435}{7486}=0.1449x+0.2739\times 472.578+0.5812\times \frac{1607435}{7486}$$

Whakareatia te 0.2739 ki te 472.578, ka 129.4391142.

$$\frac{1607435}{7486}=0.1449x+129.4391142+0.5812\times \frac{1607435}{7486}$$

Whakareatia te 0.5812 ki te \frac{1607435}{7486}, ka \frac{467120611}{3743000}.

$$\frac{1607435}{7486}=0.1449x+129.4391142+\frac{467120611}{3743000}$$

Tāpirihia te 129.4391142 ki te \frac{467120611}{3743000}, ka \frac{4758056077253}{18715000000}.

$$\frac{1607435}{7486}=0.1449x+\frac{4758056077253}{18715000000}$$

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

$$0.1449x+\frac{4758056077253}{18715000000}=\frac{1607435}{7486}$$

Tangohia te \frac{4758056077253}{18715000000} mai i ngā taha e rua.

$$0.1449x=\frac{1607435}{7486}-\frac{4758056077253}{18715000000}$$

Tangohia te \frac{4758056077253}{18715000000} i te \frac{1607435}{7486}, ka -\frac{739468577253}{18715000000}.

$$0.1449x=-\frac{739468577253}{18715000000}$$

Whakawehea ngā taha e rua ki te 0.1449.

$$x=\frac{-\frac{739468577253}{18715000000}}{0.1449}$$

Tuhia te \frac{-\frac{739468577253}{18715000000}}{0.1449} hei hautanga kotahi.

$$x=\frac{-739468577253}{18715000000\times 0.1449}$$

Whakareatia te 18715000000 ki te 0.1449, ka 2711803500.

$$x=\frac{-739468577253}{2711803500}$$

Whakahekea te hautanga \frac{-739468577253}{2711803500} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 21.

$$x=-\frac{35212789393}{129133500}$$

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

$$z=-\frac{35212789393}{129133500}-0$$

Tangohia te 0 i te -\frac{35212789393}{129133500}, ka -\frac{35212789393}{129133500}.

$$z=-\frac{35212789393}{129133500}$$

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

$$a=-\frac{35212789393}{129133500}$$

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

$$b=-\frac{35212789393}{129133500}$$

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

$$c=-\frac{35212789393}{129133500}$$

Kua oti te pūnaha te whakatau.

$$y=\frac{1607435}{7486} x=-\frac{35212789393}{129133500} z=-\frac{35212789393}{129133500} a=-\frac{35212789393}{129133500} b=-\frac{35212789393}{129133500} c=-\frac{35212789393}{129133500}$$