Whakaoti i te x(m+2)+y(m-7)=2(m-3)

$$x ( m + 2 ) + y ( m - 7 ) = 2 ( m - 3 )$$

Whakaoti mō m (complex solution)

$$\left\{\begin{matrix}m=-\frac{2x-7y+6}{x+y-2}\text{, }&x\neq 2-y\\m\in \mathrm{C}\text{, }&x=\frac{8}{9}\text{ and }y=\frac{10}{9}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te m+2.

$$xm+2x+y\left(m-7\right)=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te m-7.

$$xm+2x+ym-7y=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te m-3.

$$xm+2x+ym-7y=2m-6$$

Tangohia te 2m mai i ngā taha e rua.

$$xm+2x+ym-7y-2m=-6$$

Tangohia te 2x mai i ngā taha e rua.

$$xm+ym-7y-2m=-6-2x$$

Me tāpiri te 7y ki ngā taha e rua.

$$xm+ym-2m=-6-2x+7y$$

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

$$\left(x+y-2\right)m=-6-2x+7y$$

He hanga arowhānui tō te whārite.

$$\left(x+y-2\right)m=-2x+7y-6$$

Whakawehea ngā taha e rua ki te x+y-2.

$$\frac{\left(x+y-2\right)m}{x+y-2}=\frac{-2x+7y-6}{x+y-2}$$

Mā te whakawehe ki te x+y-2 ka wetekia te whakareanga ki te x+y-2.

$$m=\frac{-2x+7y-6}{x+y-2}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{my-7y-2m+6}{m+2}\text{, }&m\neq -2\\x\in \mathrm{C}\text{, }&y=\frac{10}{9}\text{ and }m=-2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te m+2.

$$xm+2x+y\left(m-7\right)=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te m-7.

$$xm+2x+ym-7y=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te m-3.

$$xm+2x+ym-7y=2m-6$$

Tangohia te ym mai i ngā taha e rua.

$$xm+2x-7y=2m-6-ym$$

Me tāpiri te 7y ki ngā taha e rua.

$$xm+2x=2m-6-ym+7y$$

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

$$\left(m+2\right)x=2m-6-ym+7y$$

He hanga arowhānui tō te whārite.

$$\left(m+2\right)x=-my+7y+2m-6$$

Whakawehea ngā taha e rua ki te m+2.

$$\frac{\left(m+2\right)x}{m+2}=\frac{-my+7y+2m-6}{m+2}$$

Mā te whakawehe ki te m+2 ka wetekia te whakareanga ki te m+2.

$$x=\frac{-my+7y+2m-6}{m+2}$$

Whakaoti mō m

$$\left\{\begin{matrix}m=-\frac{2x-7y+6}{x+y-2}\text{, }&x\neq 2-y\\m\in \mathrm{R}\text{, }&x=\frac{8}{9}\text{ and }y=\frac{10}{9}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te m+2.

$$xm+2x+y\left(m-7\right)=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te m-7.

$$xm+2x+ym-7y=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te m-3.

$$xm+2x+ym-7y=2m-6$$

Tangohia te 2m mai i ngā taha e rua.

$$xm+2x+ym-7y-2m=-6$$

Tangohia te 2x mai i ngā taha e rua.

$$xm+ym-7y-2m=-6-2x$$

Me tāpiri te 7y ki ngā taha e rua.

$$xm+ym-2m=-6-2x+7y$$

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

$$\left(x+y-2\right)m=-6-2x+7y$$

He hanga arowhānui tō te whārite.

$$\left(x+y-2\right)m=-2x+7y-6$$

Whakawehea ngā taha e rua ki te x+y-2.

$$\frac{\left(x+y-2\right)m}{x+y-2}=\frac{-2x+7y-6}{x+y-2}$$

Mā te whakawehe ki te x+y-2 ka wetekia te whakareanga ki te x+y-2.

$$m=\frac{-2x+7y-6}{x+y-2}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{my-7y-2m+6}{m+2}\text{, }&m\neq -2\\x\in \mathrm{R}\text{, }&y=\frac{10}{9}\text{ and }m=-2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te m+2.

$$xm+2x+y\left(m-7\right)=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te m-7.

$$xm+2x+ym-7y=2\left(m-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te m-3.

$$xm+2x+ym-7y=2m-6$$

Tangohia te ym mai i ngā taha e rua.

$$xm+2x-7y=2m-6-ym$$

Me tāpiri te 7y ki ngā taha e rua.

$$xm+2x=2m-6-ym+7y$$

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

$$\left(m+2\right)x=2m-6-ym+7y$$

He hanga arowhānui tō te whārite.

$$\left(m+2\right)x=-my+7y+2m-6$$

Whakawehea ngā taha e rua ki te m+2.

$$\frac{\left(m+2\right)x}{m+2}=\frac{-my+7y+2m-6}{m+2}$$

Mā te whakawehe ki te m+2 ka wetekia te whakareanga ki te m+2.

$$x=\frac{-my+7y+2m-6}{m+2}$$