Whakaoti i te y-10x-operatorname{prg}x=3

$$y - 10 x - \operatorname { prg } x = 3$$

Whakaoti mō g (complex solution)

$$\left\{\begin{matrix}g=\frac{-10x+y-3}{prx}\text{, }&x\neq 0\text{ and }r\neq 0\text{ and }p\neq 0\\g\in \mathrm{C}\text{, }&\left(y=10x+3\text{ and }p=0\right)\text{ or }\left(y=10x+3\text{ and }r=0\right)\text{ or }\left(y=3\text{ and }x=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te y mai i ngā taha e rua.

$$-10x-prgx=3-y$$

Me tāpiri te 10x ki ngā taha e rua.

$$-prgx=3-y+10x$$

He hanga arowhānui tō te whārite.

$$\left(-prx\right)g=10x-y+3$$

Whakawehea ngā taha e rua ki te -prx.

$$\frac{\left(-prx\right)g}{-prx}=\frac{10x-y+3}{-prx}$$

Mā te whakawehe ki te -prx ka wetekia te whakareanga ki te -prx.

$$g=\frac{10x-y+3}{-prx}$$

Whakawehe -y+10x+3 ki te -prx.

$$g=-\frac{10x-y+3}{prx}$$

Whakaoti mō p (complex solution)

$$\left\{\begin{matrix}p=\frac{-10x+y-3}{grx}\text{, }&x\neq 0\text{ and }g\neq 0\text{ and }r\neq 0\\p\in \mathrm{C}\text{, }&\left(y=10x+3\text{ and }r=0\right)\text{ or }\left(y=10x+3\text{ and }g=0\right)\text{ or }\left(y=3\text{ and }x=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te y mai i ngā taha e rua.

$$-10x-prgx=3-y$$

Me tāpiri te 10x ki ngā taha e rua.

$$-prgx=3-y+10x$$

He hanga arowhānui tō te whārite.

$$\left(-grx\right)p=10x-y+3$$

Whakawehea ngā taha e rua ki te -rgx.

$$\frac{\left(-grx\right)p}{-grx}=\frac{10x-y+3}{-grx}$$

Mā te whakawehe ki te -rgx ka wetekia te whakareanga ki te -rgx.

$$p=\frac{10x-y+3}{-grx}$$

Whakawehe -y+10x+3 ki te -rgx.

$$p=-\frac{10x-y+3}{grx}$$

Whakaoti mō g

$$\left\{\begin{matrix}g=\frac{-10x+y-3}{prx}\text{, }&x\neq 0\text{ and }r\neq 0\text{ and }p\neq 0\\g\in \mathrm{R}\text{, }&\left(y=10x+3\text{ and }p=0\right)\text{ or }\left(y=10x+3\text{ and }r=0\right)\text{ or }\left(y=3\text{ and }x=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te y mai i ngā taha e rua.

$$-10x-prgx=3-y$$

Me tāpiri te 10x ki ngā taha e rua.

$$-prgx=3-y+10x$$

He hanga arowhānui tō te whārite.

$$\left(-prx\right)g=10x-y+3$$

Whakawehea ngā taha e rua ki te -prx.

$$\frac{\left(-prx\right)g}{-prx}=\frac{10x-y+3}{-prx}$$

Mā te whakawehe ki te -prx ka wetekia te whakareanga ki te -prx.

$$g=\frac{10x-y+3}{-prx}$$

Whakawehe 3-y+10x ki te -prx.

$$g=-\frac{10x-y+3}{prx}$$

Whakaoti mō p

$$\left\{\begin{matrix}p=\frac{-10x+y-3}{grx}\text{, }&x\neq 0\text{ and }g\neq 0\text{ and }r\neq 0\\p\in \mathrm{R}\text{, }&\left(y=10x+3\text{ and }r=0\right)\text{ or }\left(y=10x+3\text{ and }g=0\right)\text{ or }\left(y=3\text{ and }x=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te y mai i ngā taha e rua.

$$-10x-prgx=3-y$$

Me tāpiri te 10x ki ngā taha e rua.

$$-prgx=3-y+10x$$

He hanga arowhānui tō te whārite.

$$\left(-grx\right)p=10x-y+3$$

Whakawehea ngā taha e rua ki te -rgx.

$$\frac{\left(-grx\right)p}{-grx}=\frac{10x-y+3}{-grx}$$

Mā te whakawehe ki te -rgx ka wetekia te whakareanga ki te -rgx.

$$p=\frac{10x-y+3}{-grx}$$

Whakawehe 3-y+10x ki te -rgx.

$$p=-\frac{10x-y+3}{grx}$$