Whakaoti i te ax+2y+a+1=0

$$a x + 2 y + a + 1 = 0$$

Whakaoti mō a (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$ax+a+1=-2y$$

Tangohia te 1 mai i ngā taha e rua.

$$ax+a=-2y-1$$

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

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

Whakawehea ngā taha e rua ki te x+1.

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

Mā te whakawehe ki te x+1 ka wetekia te whakareanga ki te x+1.

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

Whakawehe -2y-1 ki te x+1.

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

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{2y+a+1}{a}\text{, }&a\neq 0\\x\in \mathrm{C}\text{, }&a=0\text{ and }y=-\frac{1}{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$ax+a+1=-2y$$

Tangohia te a mai i ngā taha e rua.

$$ax+1=-2y-a$$

Tangohia te 1 mai i ngā taha e rua.

$$ax=-2y-a-1$$

Whakawehea ngā taha e rua ki te a.

$$\frac{ax}{a}=\frac{-2y-a-1}{a}$$

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

$$x=\frac{-2y-a-1}{a}$$

Whakawehe -2y-a-1 ki te a.

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

Whakaoti mō a

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

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$ax+a+1=-2y$$

Tangohia te 1 mai i ngā taha e rua.

$$ax+a=-2y-1$$

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

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

Whakawehea ngā taha e rua ki te x+1.

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

Mā te whakawehe ki te x+1 ka wetekia te whakareanga ki te x+1.

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

Whakawehe -2y-1 ki te x+1.

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

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{2y+a+1}{a}\text{, }&a\neq 0\\x\in \mathrm{R}\text{, }&a=0\text{ and }y=-\frac{1}{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$ax+a+1=-2y$$

Tangohia te a mai i ngā taha e rua.

$$ax+1=-2y-a$$

Tangohia te 1 mai i ngā taha e rua.

$$ax=-2y-a-1$$

Whakawehea ngā taha e rua ki te a.

$$\frac{ax}{a}=\frac{-2y-a-1}{a}$$

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

$$x=\frac{-2y-a-1}{a}$$

Whakawehe -2y-a-1 ki te a.

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