Whakaoti i te (100-x)y(1+002x)=100x

$$(100-x)y(1+002x)=100x$$

Whakaoti mō x

$$x=\frac{100y}{y+100}$$

$$y\neq -100$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0 ki te 0, ka 0.

$$\left(100-x\right)y\left(1+0\times 2x\right)=100x$$

Whakareatia te 0 ki te 2, ka 0.

$$\left(100-x\right)y\left(1+0x\right)=100x$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\left(100-x\right)y\left(1+0\right)=100x$$

Tāpirihia te 1 ki te 0, ka 1.

$$\left(100-x\right)y\times 1=100x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 100-x ki te y.

$$\left(100y-xy\right)\times 1=100x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 100y-xy ki te 1.

$$100y-xy=100x$$

Tangohia te 100x mai i ngā taha e rua.

$$100y-xy-100x=0$$

Tangohia te 100y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-xy-100x=-100y$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(-y-100\right)x=-100y$$

Whakawehea ngā taha e rua ki te -y-100.

$$\frac{\left(-y-100\right)x}{-y-100}=-\frac{100y}{-y-100}$$

Mā te whakawehe ki te -y-100 ka wetekia te whakareanga ki te -y-100.

$$x=-\frac{100y}{-y-100}$$

Whakawehe -100y ki te -y-100.

$$x=\frac{100y}{y+100}$$

Whakaoti mō y

$$y=\frac{100x}{100-x}$$

$$x\neq 100$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 0 ki te 0, ka 0.

$$\left(100-x\right)y\left(1+0\times 2x\right)=100x$$

Whakareatia te 0 ki te 2, ka 0.

$$\left(100-x\right)y\left(1+0x\right)=100x$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\left(100-x\right)y\left(1+0\right)=100x$$

Tāpirihia te 1 ki te 0, ka 1.

$$\left(100-x\right)y\times 1=100x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 100-x ki te y.

$$\left(100y-xy\right)\times 1=100x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 100y-xy ki te 1.

$$100y-xy=100x$$

Pahekotia ngā kīanga tau katoa e whai ana i te y.

$$\left(100-x\right)y=100x$$

Whakawehea ngā taha e rua ki te 100-x.

$$\frac{\left(100-x\right)y}{100-x}=\frac{100x}{100-x}$$

Mā te whakawehe ki te 100-x ka wetekia te whakareanga ki te 100-x.

$$y=\frac{100x}{100-x}$$