Whakaoti mō x
x=\frac{3y+2}{y-1}
y\neq 1
Whakaoti mō y
y=\frac{x+2}{x-3}
x\neq 3
Graph
Tohaina
Kua tāruatia ki te papatopenga
y\left(x-3\right)=2+x
Tē taea kia ōrite te tāupe x ki 3 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x-3.
yx-3y=2+x
Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-3.
yx-3y-x=2
Tangohia te x mai i ngā taha e rua.
yx-x=2+3y
Me tāpiri te 3y ki ngā taha e rua.
\left(y-1\right)x=2+3y
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\left(y-1\right)x=3y+2
He hanga arowhānui tō te whārite.
\frac{\left(y-1\right)x}{y-1}=\frac{3y+2}{y-1}
Whakawehea ngā taha e rua ki te y-1.
x=\frac{3y+2}{y-1}
Mā te whakawehe ki te y-1 ka wetekia te whakareanga ki te y-1.
x=\frac{3y+2}{y-1}\text{, }x\neq 3
Tē taea kia ōrite te tāupe x ki 3.
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