Whakaoti mō x (complex solution)
\left\{\begin{matrix}\\x=-2y-2\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=1\end{matrix}\right.
Whakaoti mō x
\left\{\begin{matrix}\\x=-2y-2\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=1\end{matrix}\right.
Whakaoti mō y
y=-\frac{x}{2}-1
y=1
Graph
Tohaina
Kua tāruatia ki te papatopenga
xy-x=2-2y^{2}
Tangohia te 2y^{2} mai i ngā taha e rua.
\left(y-1\right)x=2-2y^{2}
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\frac{\left(y-1\right)x}{y-1}=\frac{2-2y^{2}}{y-1}
Whakawehea ngā taha e rua ki te -1+y.
x=\frac{2-2y^{2}}{y-1}
Mā te whakawehe ki te -1+y ka wetekia te whakareanga ki te -1+y.
x=-2y-2
Whakawehe -2y^{2}+2 ki te -1+y.
xy-x=2-2y^{2}
Tangohia te 2y^{2} mai i ngā taha e rua.
\left(y-1\right)x=2-2y^{2}
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\frac{\left(y-1\right)x}{y-1}=\frac{2-2y^{2}}{y-1}
Whakawehea ngā taha e rua ki te -1+y.
x=\frac{2-2y^{2}}{y-1}
Mā te whakawehe ki te -1+y ka wetekia te whakareanga ki te -1+y.
x=-2y-2
Whakawehe -2y^{2}+2 ki te -1+y.
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