Whakaoti mō x
x=\frac{3y}{2}
y\neq 0
Whakaoti mō y
y=\frac{2x}{3}
x\neq 0
Graph
Tohaina
Kua tāruatia ki te papatopenga
6x=y\times 9
Me whakarea ngā taha e rua o te whārite ki te 6y, arā, te tauraro pātahi he tino iti rawa te kitea o y,6.
6x=9y
He hanga arowhānui tō te whārite.
\frac{6x}{6}=\frac{9y}{6}
Whakawehea ngā taha e rua ki te 6.
x=\frac{9y}{6}
Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.
x=\frac{3y}{2}
Whakawehe 9y ki te 6.
6x=y\times 9
Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 6y, arā, te tauraro pātahi he tino iti rawa te kitea o y,6.
y\times 9=6x
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
9y=6x
He hanga arowhānui tō te whārite.
\frac{9y}{9}=\frac{6x}{9}
Whakawehea ngā taha e rua ki te 9.
y=\frac{6x}{9}
Mā te whakawehe ki te 9 ka wetekia te whakareanga ki te 9.
y=\frac{2x}{3}
Whakawehe 6x ki te 9.
y=\frac{2x}{3}\text{, }y\neq 0
Tē taea kia ōrite te tāupe y ki 0.
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