Whakaoti i te 1911(x+y)+105(x-y)=2016*1900

$$1911(x+y)+105(x-y)=2016 \times 1900$$

Whakaoti mō x

$$x=-\frac{43y}{48}+1900$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 1911 ki te x+y.

$$1911x+1911y+105\left(x-y\right)=2016\times 1900$$

Whakamahia te āhuatanga tohatoha hei whakarea te 105 ki te x-y.

$$1911x+1911y+105x-105y=2016\times 1900$$

Pahekotia te 1911x me 105x, ka 2016x.

$$2016x+1911y-105y=2016\times 1900$$

Pahekotia te 1911y me -105y, ka 1806y.

$$2016x+1806y=2016\times 1900$$

Whakareatia te 2016 ki te 1900, ka 3830400.

$$2016x+1806y=3830400$$

Tangohia te 1806y mai i ngā taha e rua.

$$2016x=3830400-1806y$$

Whakawehea ngā taha e rua ki te 2016.

$$\frac{2016x}{2016}=\frac{3830400-1806y}{2016}$$

Mā te whakawehe ki te 2016 ka wetekia te whakareanga ki te 2016.

$$x=\frac{3830400-1806y}{2016}$$

Whakawehe 3830400-1806y ki te 2016.

$$x=-\frac{43y}{48}+1900$$

Whakaoti mō y

$$y=\frac{91200-48x}{43}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 1911 ki te x+y.

$$1911x+1911y+105\left(x-y\right)=2016\times 1900$$

Whakamahia te āhuatanga tohatoha hei whakarea te 105 ki te x-y.

$$1911x+1911y+105x-105y=2016\times 1900$$

Pahekotia te 1911x me 105x, ka 2016x.

$$2016x+1911y-105y=2016\times 1900$$

Pahekotia te 1911y me -105y, ka 1806y.

$$2016x+1806y=2016\times 1900$$

Whakareatia te 2016 ki te 1900, ka 3830400.

$$2016x+1806y=3830400$$

Tangohia te 2016x mai i ngā taha e rua.

$$1806y=3830400-2016x$$

Whakawehea ngā taha e rua ki te 1806.

$$\frac{1806y}{1806}=\frac{3830400-2016x}{1806}$$

Mā te whakawehe ki te 1806 ka wetekia te whakareanga ki te 1806.

$$y=\frac{3830400-2016x}{1806}$$

Whakawehe 3830400-2016x ki te 1806.

$$y=\frac{91200-48x}{43}$$