Whakaoti i te y*x=x+x*0.7+x*0.15

$$y \cdot x = x + x \cdot 0.7 + x \cdot 0.15$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=\frac{37}{20}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me x\times 0.7, ka 1.7x.

$$yx=1.7x+x\times 0.15$$

Pahekotia te 1.7x me x\times 0.15, ka 1.85x.

$$yx=1.85x$$

Tangohia te 1.85x mai i ngā taha e rua.

$$yx-1.85x=0$$

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

$$\left(y-1.85\right)x=0$$

Whakawehe 0 ki te -1.85+y.

$$x=0$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}\\y=1.85\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me x\times 0.7, ka 1.7x.

$$yx=1.7x+x\times 0.15$$

Pahekotia te 1.7x me x\times 0.15, ka 1.85x.

$$yx=1.85x$$

He hanga arowhānui tō te whārite.

$$xy=\frac{37x}{20}$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xy}{x}=\frac{37x}{20x}$$

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

$$y=\frac{37x}{20x}$$

Whakawehe \frac{37x}{20} ki te x.

$$y=\frac{37}{20}$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=\frac{37}{20}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me x\times 0.7, ka 1.7x.

$$yx=1.7x+x\times 0.15$$

Pahekotia te 1.7x me x\times 0.15, ka 1.85x.

$$yx=1.85x$$

Tangohia te 1.85x mai i ngā taha e rua.

$$yx-1.85x=0$$

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

$$\left(y-1.85\right)x=0$$

Whakawehe 0 ki te -1.85+y.

$$x=0$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=1.85\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te x me x\times 0.7, ka 1.7x.

$$yx=1.7x+x\times 0.15$$

Pahekotia te 1.7x me x\times 0.15, ka 1.85x.

$$yx=1.85x$$

He hanga arowhānui tō te whārite.

$$xy=\frac{37x}{20}$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xy}{x}=\frac{37x}{20x}$$

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

$$y=\frac{37x}{20x}$$

Whakawehe \frac{37x}{20} ki te x.

$$y=\frac{37}{20}$$