Whakaoti i te (m-1)x+2y+3=0

$$( m - 1 ) x + 2 y + 3 = 0$$

Whakaoti mō m (complex solution)

$$\left\{\begin{matrix}m=-\frac{3+2y-x}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=-\frac{3}{2}\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te m-1 ki te x.

$$mx-x+2y+3=0$$

Me tāpiri te x ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$mx+2y+3=x$$

Tangohia te 2y mai i ngā taha e rua.

$$mx+3=x-2y$$

Tangohia te 3 mai i ngā taha e rua.

$$mx=x-2y-3$$

He hanga arowhānui tō te whārite.

$$xm=x-2y-3$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xm}{x}=\frac{x-2y-3}{x}$$

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

$$m=\frac{x-2y-3}{x}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{2y+3}{m-1}\text{, }&m\neq 1\\x\in \mathrm{C}\text{, }&y=-\frac{3}{2}\text{ and }m=1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te m-1 ki te x.

$$mx-x+2y+3=0$$

Tangohia te 2y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$mx-x+3=-2y$$

Tangohia te 3 mai i ngā taha e rua.

$$mx-x=-2y-3$$

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

$$\left(m-1\right)x=-2y-3$$

Whakawehea ngā taha e rua ki te m-1.

$$\frac{\left(m-1\right)x}{m-1}=\frac{-2y-3}{m-1}$$

Mā te whakawehe ki te m-1 ka wetekia te whakareanga ki te m-1.

$$x=\frac{-2y-3}{m-1}$$

Whakawehe -2y-3 ki te m-1.

$$x=-\frac{2y+3}{m-1}$$

Whakaoti mō m

$$\left\{\begin{matrix}m=-\frac{3+2y-x}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=-\frac{3}{2}\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te m-1 ki te x.

$$mx-x+2y+3=0$$

Me tāpiri te x ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$mx+2y+3=x$$

Tangohia te 2y mai i ngā taha e rua.

$$mx+3=x-2y$$

Tangohia te 3 mai i ngā taha e rua.

$$mx=x-2y-3$$

He hanga arowhānui tō te whārite.

$$xm=x-2y-3$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xm}{x}=\frac{x-2y-3}{x}$$

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

$$m=\frac{x-2y-3}{x}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{2y+3}{m-1}\text{, }&m\neq 1\\x\in \mathrm{R}\text{, }&y=-\frac{3}{2}\text{ and }m=1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te m-1 ki te x.

$$mx-x+2y+3=0$$

Tangohia te 2y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$mx-x+3=-2y$$

Tangohia te 3 mai i ngā taha e rua.

$$mx-x=-2y-3$$

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

$$\left(m-1\right)x=-2y-3$$

Whakawehea ngā taha e rua ki te m-1.

$$\frac{\left(m-1\right)x}{m-1}=\frac{-2y-3}{m-1}$$

Mā te whakawehe ki te m-1 ka wetekia te whakareanga ki te m-1.

$$x=\frac{-2y-3}{m-1}$$

Whakawehe -2y-3 ki te m-1.

$$x=-\frac{2y+3}{m-1}$$