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

Tohaina

w=\frac{1}{8}x-\frac{1}{8}y+\frac{1}{8}z
Whakawehea ia wā o x-y+z ki te 8, kia riro ko \frac{1}{8}x-\frac{1}{8}y+\frac{1}{8}z.
\frac{1}{8}x-\frac{1}{8}y+\frac{1}{8}z=w
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
\frac{1}{8}x+\frac{1}{8}z=w+\frac{1}{8}y
Me tāpiri te \frac{1}{8}y ki ngā taha e rua.
\frac{1}{8}x=w+\frac{1}{8}y-\frac{1}{8}z
Tangohia te \frac{1}{8}z mai i ngā taha e rua.
\frac{1}{8}x=\frac{y}{8}-\frac{z}{8}+w
He hanga arowhānui tō te whārite.
\frac{\frac{1}{8}x}{\frac{1}{8}}=\frac{\frac{y}{8}-\frac{z}{8}+w}{\frac{1}{8}}
Me whakarea ngā taha e rua ki te 8.
x=\frac{\frac{y}{8}-\frac{z}{8}+w}{\frac{1}{8}}
Mā te whakawehe ki te \frac{1}{8} ka wetekia te whakareanga ki te \frac{1}{8}.
x=y-z+8w
Whakawehe w+\frac{y}{8}-\frac{z}{8} ki te \frac{1}{8} mā te whakarea w+\frac{y}{8}-\frac{z}{8} ki te tau huripoki o \frac{1}{8}.
w=\frac{1}{8}x-\frac{1}{8}y+\frac{1}{8}z
Whakawehea ia wā o x-y+z ki te 8, kia riro ko \frac{1}{8}x-\frac{1}{8}y+\frac{1}{8}z.