Whakaoti mō m (complex solution)
\left\{\begin{matrix}m=\frac{3x+2y+4}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&x=0\text{ and }y=-2\end{matrix}\right.
Whakaoti mō x (complex solution)
\left\{\begin{matrix}x=\frac{2\left(y+2\right)}{m-3}\text{, }&m\neq 3\\x\in \mathrm{C}\text{, }&y=-2\text{ and }m=3\end{matrix}\right.
Whakaoti mō m
\left\{\begin{matrix}m=\frac{3x+2y+4}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&x=0\text{ and }y=-2\end{matrix}\right.
Whakaoti mō x
\left\{\begin{matrix}x=\frac{2\left(y+2\right)}{m-3}\text{, }&m\neq 3\\x\in \mathrm{R}\text{, }&y=-2\text{ and }m=3\end{matrix}\right.
Graph
Tohaina
Kua tāruatia ki te papatopenga
mx-3x=4+2y
Me tāpiri te 2y ki ngā taha e rua.
mx=4+2y+3x
Me tāpiri te 3x ki ngā taha e rua.
xm=3x+2y+4
He hanga arowhānui tō te whārite.
\frac{xm}{x}=\frac{3x+2y+4}{x}
Whakawehea ngā taha e rua ki te x.
m=\frac{3x+2y+4}{x}
Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.
mx-3x=4+2y
Me tāpiri te 2y ki ngā taha e rua.
\left(m-3\right)x=4+2y
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\left(m-3\right)x=2y+4
He hanga arowhānui tō te whārite.
\frac{\left(m-3\right)x}{m-3}=\frac{2y+4}{m-3}
Whakawehea ngā taha e rua ki te m-3.
x=\frac{2y+4}{m-3}
Mā te whakawehe ki te m-3 ka wetekia te whakareanga ki te m-3.
x=\frac{2\left(y+2\right)}{m-3}
Whakawehe 4+2y ki te m-3.
mx-3x=4+2y
Me tāpiri te 2y ki ngā taha e rua.
mx=4+2y+3x
Me tāpiri te 3x ki ngā taha e rua.
xm=3x+2y+4
He hanga arowhānui tō te whārite.
\frac{xm}{x}=\frac{3x+2y+4}{x}
Whakawehea ngā taha e rua ki te x.
m=\frac{3x+2y+4}{x}
Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.
mx-3x=4+2y
Me tāpiri te 2y ki ngā taha e rua.
\left(m-3\right)x=4+2y
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\left(m-3\right)x=2y+4
He hanga arowhānui tō te whārite.
\frac{\left(m-3\right)x}{m-3}=\frac{2y+4}{m-3}
Whakawehea ngā taha e rua ki te m-3.
x=\frac{2y+4}{m-3}
Mā te whakawehe ki te m-3 ka wetekia te whakareanga ki te m-3.
x=\frac{2\left(y+2\right)}{m-3}
Whakawehe 4+2y ki te m-3.
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