Whakaoti mō a (complex solution)
\left\{\begin{matrix}a=-\frac{2y-x}{x+y-3}\text{, }&x\neq 3-y\\a\in \mathrm{C}\text{, }&x=2\text{ and }y=1\end{matrix}\right.
Whakaoti mō x (complex solution)
\left\{\begin{matrix}x=-\frac{ay+2y-3a}{a-1}\text{, }&a\neq 1\\x\in \mathrm{C}\text{, }&y=1\text{ and }a=1\end{matrix}\right.
Whakaoti mō a
\left\{\begin{matrix}a=-\frac{2y-x}{x+y-3}\text{, }&x\neq 3-y\\a\in \mathrm{R}\text{, }&x=2\text{ and }y=1\end{matrix}\right.
Whakaoti mō x
\left\{\begin{matrix}x=-\frac{ay+2y-3a}{a-1}\text{, }&a\neq 1\\x\in \mathrm{R}\text{, }&y=1\text{ and }a=1\end{matrix}\right.
Graph
Tohaina
Kua tāruatia ki te papatopenga
ax-x+\left(a+2\right)y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a-1 ki te x.
ax-x+ay+2y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a+2 ki te y.
ax-x+ay+2y-3a=0
Tangohia te 3a mai i ngā taha e rua.
ax+ay+2y-3a=x
Me tāpiri te x ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.
ax+ay-3a=x-2y
Tangohia te 2y mai i ngā taha e rua.
\left(x+y-3\right)a=x-2y
Pahekotia ngā kīanga tau katoa e whai ana i te a.
\frac{\left(x+y-3\right)a}{x+y-3}=\frac{x-2y}{x+y-3}
Whakawehea ngā taha e rua ki te x+y-3.
a=\frac{x-2y}{x+y-3}
Mā te whakawehe ki te x+y-3 ka wetekia te whakareanga ki te x+y-3.
ax-x+\left(a+2\right)y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a-1 ki te x.
ax-x+ay+2y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a+2 ki te y.
ax-x+2y=3a-ay
Tangohia te ay mai i ngā taha e rua.
ax-x=3a-ay-2y
Tangohia te 2y mai i ngā taha e rua.
\left(a-1\right)x=3a-ay-2y
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\left(a-1\right)x=3a-2y-ay
He hanga arowhānui tō te whārite.
\frac{\left(a-1\right)x}{a-1}=\frac{3a-2y-ay}{a-1}
Whakawehea ngā taha e rua ki te a-1.
x=\frac{3a-2y-ay}{a-1}
Mā te whakawehe ki te a-1 ka wetekia te whakareanga ki te a-1.
ax-x+\left(a+2\right)y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a-1 ki te x.
ax-x+ay+2y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a+2 ki te y.
ax-x+ay+2y-3a=0
Tangohia te 3a mai i ngā taha e rua.
ax+ay+2y-3a=x
Me tāpiri te x ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.
ax+ay-3a=x-2y
Tangohia te 2y mai i ngā taha e rua.
\left(x+y-3\right)a=x-2y
Pahekotia ngā kīanga tau katoa e whai ana i te a.
\frac{\left(x+y-3\right)a}{x+y-3}=\frac{x-2y}{x+y-3}
Whakawehea ngā taha e rua ki te x+y-3.
a=\frac{x-2y}{x+y-3}
Mā te whakawehe ki te x+y-3 ka wetekia te whakareanga ki te x+y-3.
ax-x+\left(a+2\right)y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a-1 ki te x.
ax-x+ay+2y=3a
Whakamahia te āhuatanga tohatoha hei whakarea te a+2 ki te y.
ax-x+2y=3a-ay
Tangohia te ay mai i ngā taha e rua.
ax-x=3a-ay-2y
Tangohia te 2y mai i ngā taha e rua.
\left(a-1\right)x=3a-ay-2y
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\left(a-1\right)x=3a-2y-ay
He hanga arowhānui tō te whārite.
\frac{\left(a-1\right)x}{a-1}=\frac{3a-2y-ay}{a-1}
Whakawehea ngā taha e rua ki te a-1.
x=\frac{3a-2y-ay}{a-1}
Mā te whakawehe ki te a-1 ka wetekia te whakareanga ki te a-1.
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