Whakaoti i te -5x(2y+4)-y=2

$$- 5 x ( 2 y + 4 ) - y = 2$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=-\frac{1}{10}=-0.1\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=-2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -5x ki te 2y+4.

$$-10xy-20x-y=2$$

Me tāpiri te y ki ngā taha e rua.

$$-10xy-20x=2+y$$

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

$$\left(-10y-20\right)x=2+y$$

He hanga arowhānui tō te whārite.

$$\left(-10y-20\right)x=y+2$$

Whakawehea ngā taha e rua ki te -10y-20.

$$\frac{\left(-10y-20\right)x}{-10y-20}=\frac{y+2}{-10y-20}$$

Mā te whakawehe ki te -10y-20 ka wetekia te whakareanga ki te -10y-20.

$$x=\frac{y+2}{-10y-20}$$

Whakawehe 2+y ki te -10y-20.

$$x=-\frac{1}{10}$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}\\y=-2\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=-\frac{1}{10}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -5x ki te 2y+4.

$$-10xy-20x-y=2$$

Me tāpiri te 20x ki ngā taha e rua.

$$-10xy-y=2+20x$$

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

$$\left(-10x-1\right)y=2+20x$$

He hanga arowhānui tō te whārite.

$$\left(-10x-1\right)y=20x+2$$

Whakawehea ngā taha e rua ki te -1-10x.

$$\frac{\left(-10x-1\right)y}{-10x-1}=\frac{20x+2}{-10x-1}$$

Mā te whakawehe ki te -1-10x ka wetekia te whakareanga ki te -1-10x.

$$y=\frac{20x+2}{-10x-1}$$

Whakawehe 2+20x ki te -1-10x.

$$y=-2$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=-\frac{1}{10}=-0.1\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=-2\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -5x ki te 2y+4.

$$-10xy-20x-y=2$$

Me tāpiri te y ki ngā taha e rua.

$$-10xy-20x=2+y$$

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

$$\left(-10y-20\right)x=2+y$$

He hanga arowhānui tō te whārite.

$$\left(-10y-20\right)x=y+2$$

Whakawehea ngā taha e rua ki te -10y-20.

$$\frac{\left(-10y-20\right)x}{-10y-20}=\frac{y+2}{-10y-20}$$

Mā te whakawehe ki te -10y-20 ka wetekia te whakareanga ki te -10y-20.

$$x=\frac{y+2}{-10y-20}$$

Whakawehe 2+y ki te -10y-20.

$$x=-\frac{1}{10}$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=-2\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=-\frac{1}{10}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -5x ki te 2y+4.

$$-10xy-20x-y=2$$

Me tāpiri te 20x ki ngā taha e rua.

$$-10xy-y=2+20x$$

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

$$\left(-10x-1\right)y=2+20x$$

He hanga arowhānui tō te whārite.

$$\left(-10x-1\right)y=20x+2$$

Whakawehea ngā taha e rua ki te -1-10x.

$$\frac{\left(-10x-1\right)y}{-10x-1}=\frac{20x+2}{-10x-1}$$

Mā te whakawehe ki te -1-10x ka wetekia te whakareanga ki te -1-10x.

$$y=\frac{20x+2}{-10x-1}$$

Whakawehe 2+20x ki te -1-10x.

$$y=-2$$