Whakaoti mō x (complex solution)
\left\{\begin{matrix}\\x=\frac{3}{2}=1.5\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=-1\end{matrix}\right.
Whakaoti mō y (complex solution)
\left\{\begin{matrix}\\y=-1\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=\frac{3}{2}\end{matrix}\right.
Whakaoti mō x
\left\{\begin{matrix}\\x=\frac{3}{2}=1.5\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=-1\end{matrix}\right.
Whakaoti mō y
\left\{\begin{matrix}\\y=-1\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\frac{3}{2}\end{matrix}\right.
Graph
Tohaina
Kua tāruatia ki te papatopenga
2yx+x-5=3y-2-x
Whakamahia te āhuatanga tohatoha hei whakarea te 2y+1 ki te x.
2yx+x-5+x=3y-2
Me tāpiri te x ki ngā taha e rua.
2yx+2x-5=3y-2
Pahekotia te x me x, ka 2x.
2yx+2x=3y-2+5
Me tāpiri te 5 ki ngā taha e rua.
2yx+2x=3y+3
Tāpirihia te -2 ki te 5, ka 3.
\left(2y+2\right)x=3y+3
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\frac{\left(2y+2\right)x}{2y+2}=\frac{3y+3}{2y+2}
Whakawehea ngā taha e rua ki te 2y+2.
x=\frac{3y+3}{2y+2}
Mā te whakawehe ki te 2y+2 ka wetekia te whakareanga ki te 2y+2.
x=\frac{3}{2}
Whakawehe 3+3y ki te 2y+2.
2yx+x-5=3y-2-x
Whakamahia te āhuatanga tohatoha hei whakarea te 2y+1 ki te x.
2yx+x-5-3y=-2-x
Tangohia te 3y mai i ngā taha e rua.
2yx-5-3y=-2-x-x
Tangohia te x mai i ngā taha e rua.
2yx-5-3y=-2-2x
Pahekotia te -x me -x, ka -2x.
2yx-3y=-2-2x+5
Me tāpiri te 5 ki ngā taha e rua.
2yx-3y=3-2x
Tāpirihia te -2 ki te 5, ka 3.
\left(2x-3\right)y=3-2x
Pahekotia ngā kīanga tau katoa e whai ana i te y.
\frac{\left(2x-3\right)y}{2x-3}=\frac{3-2x}{2x-3}
Whakawehea ngā taha e rua ki te -3+2x.
y=\frac{3-2x}{2x-3}
Mā te whakawehe ki te -3+2x ka wetekia te whakareanga ki te -3+2x.
y=-1
Whakawehe 3-2x ki te -3+2x.
2yx+x-5=3y-2-x
Whakamahia te āhuatanga tohatoha hei whakarea te 2y+1 ki te x.
2yx+x-5+x=3y-2
Me tāpiri te x ki ngā taha e rua.
2yx+2x-5=3y-2
Pahekotia te x me x, ka 2x.
2yx+2x=3y-2+5
Me tāpiri te 5 ki ngā taha e rua.
2yx+2x=3y+3
Tāpirihia te -2 ki te 5, ka 3.
\left(2y+2\right)x=3y+3
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\frac{\left(2y+2\right)x}{2y+2}=\frac{3y+3}{2y+2}
Whakawehea ngā taha e rua ki te 2y+2.
x=\frac{3y+3}{2y+2}
Mā te whakawehe ki te 2y+2 ka wetekia te whakareanga ki te 2y+2.
x=\frac{3}{2}
Whakawehe 3+3y ki te 2y+2.
2yx+x-5=3y-2-x
Whakamahia te āhuatanga tohatoha hei whakarea te 2y+1 ki te x.
2yx+x-5-3y=-2-x
Tangohia te 3y mai i ngā taha e rua.
2yx-5-3y=-2-x-x
Tangohia te x mai i ngā taha e rua.
2yx-5-3y=-2-2x
Pahekotia te -x me -x, ka -2x.
2yx-3y=-2-2x+5
Me tāpiri te 5 ki ngā taha e rua.
2yx-3y=3-2x
Tāpirihia te -2 ki te 5, ka 3.
\left(2x-3\right)y=3-2x
Pahekotia ngā kīanga tau katoa e whai ana i te y.
\frac{\left(2x-3\right)y}{2x-3}=\frac{3-2x}{2x-3}
Whakawehea ngā taha e rua ki te -3+2x.
y=\frac{3-2x}{2x-3}
Mā te whakawehe ki te -3+2x ka wetekia te whakareanga ki te -3+2x.
y=-1
Whakawehe 3-2x ki te -3+2x.
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