Whakaoti i te left(k+1right)x+4y-7=0

$$\left( k+1 \right) x+4y-7 = 0$$

Whakaoti mō k (complex solution)

$$\left\{\begin{matrix}k=-\frac{x+4y-7}{x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&y=\frac{7}{4}\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te k+1 ki te x.

$$kx+x+4y-7=0$$

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

$$kx+4y-7=-x$$

Tangohia te 4y mai i ngā taha e rua.

$$kx-7=-x-4y$$

Me tāpiri te 7 ki ngā taha e rua.

$$kx=-x-4y+7$$

He hanga arowhānui tō te whārite.

$$xk=7-4y-x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xk}{x}=\frac{7-4y-x}{x}$$

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

$$k=\frac{7-4y-x}{x}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\frac{4y-7}{k+1}\text{, }&k\neq -1\\x\in \mathrm{C}\text{, }&y=\frac{7}{4}\text{ and }k=-1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te k+1 ki te x.

$$kx+x+4y-7=0$$

Tangohia te 4y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$kx+x-7=-4y$$

Me tāpiri te 7 ki ngā taha e rua.

$$kx+x=-4y+7$$

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

$$\left(k+1\right)x=-4y+7$$

He hanga arowhānui tō te whārite.

$$\left(k+1\right)x=7-4y$$

Whakawehea ngā taha e rua ki te k+1.

$$\frac{\left(k+1\right)x}{k+1}=\frac{7-4y}{k+1}$$

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

$$x=\frac{7-4y}{k+1}$$

Whakaoti mō k

$$\left\{\begin{matrix}k=-\frac{x+4y-7}{x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&y=\frac{7}{4}\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te k+1 ki te x.

$$kx+x+4y-7=0$$

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

$$kx+4y-7=-x$$

Tangohia te 4y mai i ngā taha e rua.

$$kx-7=-x-4y$$

Me tāpiri te 7 ki ngā taha e rua.

$$kx=-x-4y+7$$

He hanga arowhānui tō te whārite.

$$xk=7-4y-x$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xk}{x}=\frac{7-4y-x}{x}$$

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

$$k=\frac{7-4y-x}{x}$$

Whakaoti mō x

$$\left\{\begin{matrix}x=-\frac{4y-7}{k+1}\text{, }&k\neq -1\\x\in \mathrm{R}\text{, }&y=\frac{7}{4}\text{ and }k=-1\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te k+1 ki te x.

$$kx+x+4y-7=0$$

Tangohia te 4y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$kx+x-7=-4y$$

Me tāpiri te 7 ki ngā taha e rua.

$$kx+x=-4y+7$$

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

$$\left(k+1\right)x=-4y+7$$

He hanga arowhānui tō te whārite.

$$\left(k+1\right)x=7-4y$$

Whakawehea ngā taha e rua ki te k+1.

$$\frac{\left(k+1\right)x}{k+1}=\frac{7-4y}{k+1}$$

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

$$x=\frac{7-4y}{k+1}$$