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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

-\frac{3}{5}n-4=\frac{5}{3}x+\frac{20}{3}-4y
Tangohia te 4y mai i ngā taha e rua.
-\frac{3}{5}n=\frac{5}{3}x+\frac{20}{3}-4y+4
Me tāpiri te 4 ki ngā taha e rua.
-\frac{3}{5}n=\frac{5}{3}x+\frac{32}{3}-4y
Tāpirihia te \frac{20}{3} ki te 4, ka \frac{32}{3}.
-\frac{3}{5}n=\frac{5x}{3}-4y+\frac{32}{3}
He hanga arowhānui tō te whārite.
\frac{-\frac{3}{5}n}{-\frac{3}{5}}=\frac{\frac{5x}{3}-4y+\frac{32}{3}}{-\frac{3}{5}}
Whakawehea ngā taha e rua o te whārite ki te -\frac{3}{5}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.
n=\frac{\frac{5x}{3}-4y+\frac{32}{3}}{-\frac{3}{5}}
Mā te whakawehe ki te -\frac{3}{5} ka wetekia te whakareanga ki te -\frac{3}{5}.
n=\frac{20y}{3}-\frac{25x}{9}-\frac{160}{9}
Whakawehe \frac{5x}{3}+\frac{32}{3}-4y ki te -\frac{3}{5} mā te whakarea \frac{5x}{3}+\frac{32}{3}-4y ki te tau huripoki o -\frac{3}{5}.
\frac{5}{3}x+\frac{20}{3}=4y-\frac{3}{5}n-4
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
\frac{5}{3}x=4y-\frac{3}{5}n-4-\frac{20}{3}
Tangohia te \frac{20}{3} mai i ngā taha e rua.
\frac{5}{3}x=4y-\frac{3}{5}n-\frac{32}{3}
Tangohia te \frac{20}{3} i te -4, ka -\frac{32}{3}.
\frac{5}{3}x=-\frac{3n}{5}+4y-\frac{32}{3}
He hanga arowhānui tō te whārite.
\frac{\frac{5}{3}x}{\frac{5}{3}}=\frac{-\frac{3n}{5}+4y-\frac{32}{3}}{\frac{5}{3}}
Whakawehea ngā taha e rua o te whārite ki te \frac{5}{3}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.
x=\frac{-\frac{3n}{5}+4y-\frac{32}{3}}{\frac{5}{3}}
Mā te whakawehe ki te \frac{5}{3} ka wetekia te whakareanga ki te \frac{5}{3}.
x=\frac{12y}{5}-\frac{9n}{25}-\frac{32}{5}
Whakawehe 4y-\frac{3n}{5}-\frac{32}{3} ki te \frac{5}{3} mā te whakarea 4y-\frac{3n}{5}-\frac{32}{3} ki te tau huripoki o \frac{5}{3}.