Whakaoti mō q
q = \frac{1023}{20} = 51\frac{3}{20} = 51.15
Tohaina
Kua tāruatia ki te papatopenga
1023=1023q\times \frac{1}{33}+1023q\left(-\frac{1}{93}\right)
Tē taea kia ōrite te tāupe q ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 1023q, arā, te tauraro pātahi he tino iti rawa te kitea o q,33,93.
1023=\frac{1023}{33}q+1023q\left(-\frac{1}{93}\right)
Whakareatia te 1023 ki te \frac{1}{33}, ka \frac{1023}{33}.
1023=31q+1023q\left(-\frac{1}{93}\right)
Whakawehea te 1023 ki te 33, kia riro ko 31.
1023=31q+\frac{1023\left(-1\right)}{93}q
Tuhia te 1023\left(-\frac{1}{93}\right) hei hautanga kotahi.
1023=31q+\frac{-1023}{93}q
Whakareatia te 1023 ki te -1, ka -1023.
1023=31q-11q
Whakawehea te -1023 ki te 93, kia riro ko -11.
1023=20q
Pahekotia te 31q me -11q, ka 20q.
20q=1023
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
q=\frac{1023}{20}
Whakawehea ngā taha e rua ki te 20.
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