Whakaoti i te 2(0.0891+(1.07*10^-6x)/5.71*10^-6)+y=6000

$$2( \frac{ 0.0891+(1.07 \times { 10 }^{ -6 } x) }{ 5.71 \times { 10 }^{ -6 } } )+y=6000$$

Whakaoti mō x

$$x=-\frac{571y}{214}-\frac{7197000}{107}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 10 mā te pū o -6, kia riro ko \frac{1}{1000000}.

$$2\times \frac{0.0891+1.07\times \frac{1}{1000000}x}{5.71\times 10^{-6}}+y=6000$$

Whakareatia te 1.07 ki te \frac{1}{1000000}, ka \frac{107}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times 10^{-6}}+y=6000$$

Tātaihia te 10 mā te pū o -6, kia riro ko \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times \frac{1}{1000000}}+y=6000$$

Whakareatia te 5.71 ki te \frac{1}{1000000}, ka \frac{571}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{\frac{571}{100000000}}+y=6000$$

Whakawehea ia wā o 0.0891+\frac{107}{100000000}x ki te \frac{571}{100000000}, kia riro ko \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}.

$$2\left(\frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Whakawehe 0.0891 ki te \frac{571}{100000000} mā te whakarea 0.0891 ki te tau huripoki o \frac{571}{100000000}.

$$2\left(0.0891\times \frac{100000000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Whakareatia te 0.0891 ki te \frac{100000000}{571}, ka \frac{8910000}{571}.

$$2\left(\frac{8910000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Whakawehea te \frac{107}{100000000}x ki te \frac{571}{100000000}, kia riro ko \frac{107}{571}x.

$$2\left(\frac{8910000}{571}+\frac{107}{571}x\right)+y=6000$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te \frac{8910000}{571}+\frac{107}{571}x.

$$\frac{17820000}{571}+\frac{214}{571}x+y=6000$$

Tangohia te \frac{17820000}{571} mai i ngā taha e rua.

$$\frac{214}{571}x+y=6000-\frac{17820000}{571}$$

Tangohia te \frac{17820000}{571} i te 6000, ka -\frac{14394000}{571}.

$$\frac{214}{571}x+y=-\frac{14394000}{571}$$

Tangohia te y mai i ngā taha e rua.

$$\frac{214}{571}x=-\frac{14394000}{571}-y$$

He hanga arowhānui tō te whārite.

$$\frac{214}{571}x=-y-\frac{14394000}{571}$$

Whakawehea ngā taha e rua o te whārite ki te \frac{214}{571}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{214}{571}x}{\frac{214}{571}}=\frac{-y-\frac{14394000}{571}}{\frac{214}{571}}$$

Mā te whakawehe ki te \frac{214}{571} ka wetekia te whakareanga ki te \frac{214}{571}.

$$x=\frac{-y-\frac{14394000}{571}}{\frac{214}{571}}$$

Whakawehe -\frac{14394000}{571}-y ki te \frac{214}{571} mā te whakarea -\frac{14394000}{571}-y ki te tau huripoki o \frac{214}{571}.

$$x=-\frac{571y}{214}-\frac{7197000}{107}$$

Whakaoti mō y

$$y=\frac{-214x-14394000}{571}$$

Ngā Upane Otinga

Tātaihia te 10 mā te pū o -6, kia riro ko \frac{1}{1000000}.

$$2\times \frac{0.0891+1.07\times \frac{1}{1000000}x}{5.71\times 10^{-6}}+y=6000$$

Whakareatia te 1.07 ki te \frac{1}{1000000}, ka \frac{107}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times 10^{-6}}+y=6000$$

Tātaihia te 10 mā te pū o -6, kia riro ko \frac{1}{1000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{5.71\times \frac{1}{1000000}}+y=6000$$

Whakareatia te 5.71 ki te \frac{1}{1000000}, ka \frac{571}{100000000}.

$$2\times \frac{0.0891+\frac{107}{100000000}x}{\frac{571}{100000000}}+y=6000$$

Whakawehea ia wā o 0.0891+\frac{107}{100000000}x ki te \frac{571}{100000000}, kia riro ko \frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}.

$$2\left(\frac{0.0891}{\frac{571}{100000000}}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Whakawehe 0.0891 ki te \frac{571}{100000000} mā te whakarea 0.0891 ki te tau huripoki o \frac{571}{100000000}.

$$2\left(0.0891\times \frac{100000000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Whakareatia te 0.0891 ki te \frac{100000000}{571}, ka \frac{8910000}{571}.

$$2\left(\frac{8910000}{571}+\frac{\frac{107}{100000000}x}{\frac{571}{100000000}}\right)+y=6000$$

Whakawehea te \frac{107}{100000000}x ki te \frac{571}{100000000}, kia riro ko \frac{107}{571}x.

$$2\left(\frac{8910000}{571}+\frac{107}{571}x\right)+y=6000$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te \frac{8910000}{571}+\frac{107}{571}x.

$$\frac{17820000}{571}+\frac{214}{571}x+y=6000$$

Tangohia te \frac{17820000}{571} mai i ngā taha e rua.

$$\frac{214}{571}x+y=6000-\frac{17820000}{571}$$

Tangohia te \frac{17820000}{571} i te 6000, ka -\frac{14394000}{571}.

$$\frac{214}{571}x+y=-\frac{14394000}{571}$$

Tangohia te \frac{214}{571}x mai i ngā taha e rua.

$$y=-\frac{14394000}{571}-\frac{214}{571}x$$