Whakaoti mō x (complex solution)
\left\{\begin{matrix}x=\frac{z}{1-5y}\text{, }&y\neq \frac{1}{5}\\x\in \mathrm{C}\text{, }&z=0\text{ and }y=\frac{1}{5}\end{matrix}\right.
Whakaoti mō y (complex solution)
\left\{\begin{matrix}y=-\frac{z}{5x}+\frac{1}{5}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&z=0\text{ and }x=0\end{matrix}\right.
Whakaoti mō x
\left\{\begin{matrix}x=\frac{z}{1-5y}\text{, }&y\neq \frac{1}{5}\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=\frac{1}{5}\end{matrix}\right.
Whakaoti mō y
\left\{\begin{matrix}y=-\frac{z}{5x}+\frac{1}{5}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.
Tohaina
Kua tāruatia ki te papatopenga
x-5xy=z
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
\left(1-5y\right)x=z
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\frac{\left(1-5y\right)x}{1-5y}=\frac{z}{1-5y}
Whakawehea ngā taha e rua ki te 1-5y.
x=\frac{z}{1-5y}
Mā te whakawehe ki te 1-5y ka wetekia te whakareanga ki te 1-5y.
x-5xy=z
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
-5xy=z-x
Tangohia te x mai i ngā taha e rua.
\left(-5x\right)y=z-x
He hanga arowhānui tō te whārite.
\frac{\left(-5x\right)y}{-5x}=\frac{z-x}{-5x}
Whakawehea ngā taha e rua ki te -5x.
y=\frac{z-x}{-5x}
Mā te whakawehe ki te -5x ka wetekia te whakareanga ki te -5x.
y=-\frac{z}{5x}+\frac{1}{5}
Whakawehe z-x ki te -5x.
x-5xy=z
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
\left(1-5y\right)x=z
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\frac{\left(1-5y\right)x}{1-5y}=\frac{z}{1-5y}
Whakawehea ngā taha e rua ki te 1-5y.
x=\frac{z}{1-5y}
Mā te whakawehe ki te 1-5y ka wetekia te whakareanga ki te 1-5y.
x-5xy=z
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
-5xy=z-x
Tangohia te x mai i ngā taha e rua.
\left(-5x\right)y=z-x
He hanga arowhānui tō te whārite.
\frac{\left(-5x\right)y}{-5x}=\frac{z-x}{-5x}
Whakawehea ngā taha e rua ki te -5x.
y=\frac{z-x}{-5x}
Mā te whakawehe ki te -5x ka wetekia te whakareanga ki te -5x.
y=-\frac{z}{5x}+\frac{1}{5}
Whakawehe z-x ki te -5x.
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