Whakaoti mō n
\left\{\begin{matrix}n=-\frac{\left(x-2\right)\left(y-1\right)}{x-1}\text{, }&y\neq 1\text{ and }x\neq 2\text{ and }x\neq 1\\n\neq 0\text{, }&y=1\text{ and }x=1\end{matrix}\right.
Whakaoti mō x
x=-\frac{2-n-2y}{y+n-1}
n\neq 0\text{ and }y\neq 1-n
Graph
Tohaina
Kua tāruatia ki te papatopenga
n\left(x-1\right)=\left(x-2\right)\left(1-y\right)
Tē taea kia ōrite te tāupe n ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te n\left(x-2\right), arā, te tauraro pātahi he tino iti rawa te kitea o x-2,n.
nx-n=\left(x-2\right)\left(1-y\right)
Whakamahia te āhuatanga tohatoha hei whakarea te n ki te x-1.
nx-n=x-xy-2+2y
Whakamahia te āhuatanga tohatoha hei whakarea te x-2 ki te 1-y.
\left(x-1\right)n=x-xy-2+2y
Pahekotia ngā kīanga tau katoa e whai ana i te n.
\left(x-1\right)n=-xy+x+2y-2
He hanga arowhānui tō te whārite.
\frac{\left(x-1\right)n}{x-1}=\frac{\left(1-y\right)\left(x-2\right)}{x-1}
Whakawehea ngā taha e rua ki te x-1.
n=\frac{\left(1-y\right)\left(x-2\right)}{x-1}
Mā te whakawehe ki te x-1 ka wetekia te whakareanga ki te x-1.
n=\frac{\left(1-y\right)\left(x-2\right)}{x-1}\text{, }n\neq 0
Tē taea kia ōrite te tāupe n ki 0.
n\left(x-1\right)=\left(x-2\right)\left(1-y\right)
Tē taea kia ōrite te tāupe x ki 2 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te n\left(x-2\right), arā, te tauraro pātahi he tino iti rawa te kitea o x-2,n.
nx-n=\left(x-2\right)\left(1-y\right)
Whakamahia te āhuatanga tohatoha hei whakarea te n ki te x-1.
nx-n=x-xy-2+2y
Whakamahia te āhuatanga tohatoha hei whakarea te x-2 ki te 1-y.
nx-n-x=-xy-2+2y
Tangohia te x mai i ngā taha e rua.
nx-n-x+xy=-2+2y
Me tāpiri te xy ki ngā taha e rua.
nx-x+xy=-2+2y+n
Me tāpiri te n ki ngā taha e rua.
\left(n-1+y\right)x=-2+2y+n
Pahekotia ngā kīanga tau katoa e whai ana i te x.
\left(y+n-1\right)x=2y+n-2
He hanga arowhānui tō te whārite.
\frac{\left(y+n-1\right)x}{y+n-1}=\frac{2y+n-2}{y+n-1}
Whakawehea ngā taha e rua ki te n-1+y.
x=\frac{2y+n-2}{y+n-1}
Mā te whakawehe ki te n-1+y ka wetekia te whakareanga ki te n-1+y.
x=\frac{2y+n-2}{y+n-1}\text{, }x\neq 2
Tē taea kia ōrite te tāupe x ki 2.
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