Tīpoka ki ngā ihirangi matua
Whakaoti mō x
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Whakaoti mō y
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

49=y\left(x-6\right)
Me whakarea ngā taha e rua o te whārite ki te 49y, arā, te tauraro pātahi he tino iti rawa te kitea o y,49.
49=yx-6y
Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-6.
yx-6y=49
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
yx=49+6y
Me tāpiri te 6y ki ngā taha e rua.
yx=6y+49
He hanga arowhānui tō te whārite.
\frac{yx}{y}=\frac{6y+49}{y}
Whakawehea ngā taha e rua ki te y.
x=\frac{6y+49}{y}
Mā te whakawehe ki te y ka wetekia te whakareanga ki te y.
x=6+\frac{49}{y}
Whakawehe 49+6y ki te y.
49=y\left(x-6\right)
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 49y, arā, te tauraro pātahi he tino iti rawa te kitea o y,49.
49=yx-6y
Whakamahia te āhuatanga tohatoha hei whakarea te y ki te x-6.
yx-6y=49
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
\left(x-6\right)y=49
Pahekotia ngā kīanga tau katoa e whai ana i te y.
\frac{\left(x-6\right)y}{x-6}=\frac{49}{x-6}
Whakawehea ngā taha e rua ki te x-6.
y=\frac{49}{x-6}
Mā te whakawehe ki te x-6 ka wetekia te whakareanga ki te x-6.
y=\frac{49}{x-6}\text{, }y\neq 0
Tē taea kia ōrite te tāupe y ki 0.