Whakaoti i te kx=my-mx

$$k x = m y - m x$$

Whakaoti mō k (complex solution)

$$\left\{\begin{matrix}k=\frac{m\left(y-x\right)}{x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&\left(m=0\text{ or }y=0\right)\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$xk=my-mx$$

Whakawehea ngā taha e rua ki te x.

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

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

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

Whakaoti mō m (complex solution)

$$\left\{\begin{matrix}m=-\frac{kx}{x-y}\text{, }&x\neq y\\m\in \mathrm{C}\text{, }&\left(k=0\text{ and }x=y\right)\text{ or }\left(x=0\text{ and }y=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$my-mx=kx$$

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

$$\left(y-x\right)m=kx$$

Whakawehea ngā taha e rua ki te y-x.

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

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

$$m=\frac{kx}{y-x}$$

Whakaoti mō k

$$\left\{\begin{matrix}k=\frac{m\left(y-x\right)}{x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&\left(m=0\text{ or }y=0\right)\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$xk=my-mx$$

Whakawehea ngā taha e rua ki te x.

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

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

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

Whakaoti mō m

$$\left\{\begin{matrix}m=-\frac{kx}{x-y}\text{, }&x\neq y\\m\in \mathrm{R}\text{, }&\left(k=0\text{ and }x=y\right)\text{ or }\left(x=0\text{ and }y=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$my-mx=kx$$

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

$$\left(y-x\right)m=kx$$

Whakawehea ngā taha e rua ki te y-x.

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

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

$$m=\frac{kx}{y-x}$$