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