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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{4x+24-6x}{15x+39}=\frac{14}{114}
Whakawehea ngā taha e rua ki te 114.
\frac{4x+24-6x}{15x+39}=\frac{7}{57}
Whakahekea te hautanga \frac{14}{114} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.
19\left(4x+24-6x\right)=7\left(5x+13\right)
Tē taea kia ōrite te tāupe x ki -\frac{13}{5} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 57\left(5x+13\right), arā, te tauraro pātahi he tino iti rawa te kitea o 15x+39,57.
19\left(-2x+24\right)=7\left(5x+13\right)
Pahekotia te 4x me -6x, ka -2x.
-38x+456=7\left(5x+13\right)
Whakamahia te āhuatanga tohatoha hei whakarea te 19 ki te -2x+24.
-38x+456=35x+91
Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 5x+13.
-38x+456-35x=91
Tangohia te 35x mai i ngā taha e rua.
-73x+456=91
Pahekotia te -38x me -35x, ka -73x.
-73x=91-456
Tangohia te 456 mai i ngā taha e rua.
-73x=-365
Tangohia te 456 i te 91, ka -365.
x=\frac{-365}{-73}
Whakawehea ngā taha e rua ki te -73.
x=5
Whakawehea te -365 ki te -73, kia riro ko 5.