Whakaoti i te -48=11/2(2(9)(n-1)-2)

$$- 48 = \frac { 11 } { 2 } ( 2 ( 9 ) ( n - 1 ) - 2 )$$

Whakaoti mō n

$$n=\frac{62}{99}\approx 0.626262626$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua ki te \frac{2}{11}, te tau utu o \frac{11}{2}.

$$-48\times \frac{2}{11}=2\times 9\left(n-1\right)-2$$

Tuhia te -48\times \frac{2}{11} hei hautanga kotahi.

$$\frac{-48\times 2}{11}=2\times 9\left(n-1\right)-2$$

Whakareatia te -48 ki te 2, ka -96.

$$\frac{-96}{11}=2\times 9\left(n-1\right)-2$$

Ka taea te hautanga \frac{-96}{11} te tuhi anō ko -\frac{96}{11} mā te tango i te tohu tōraro.

$$-\frac{96}{11}=2\times 9\left(n-1\right)-2$$

Whakareatia te 2 ki te 9, ka 18.

$$-\frac{96}{11}=18\left(n-1\right)-2$$

Whakamahia te āhuatanga tohatoha hei whakarea te 18 ki te n-1.

$$-\frac{96}{11}=18n-18-2$$

Tangohia te 2 i te -18, ka -20.

$$-\frac{96}{11}=18n-20$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$18n-20=-\frac{96}{11}$$

Me tāpiri te 20 ki ngā taha e rua.

$$18n=-\frac{96}{11}+20$$

Me tahuri te 20 ki te hautau \frac{220}{11}.

$$18n=-\frac{96}{11}+\frac{220}{11}$$

Tā te mea he rite te tauraro o -\frac{96}{11} me \frac{220}{11}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$18n=\frac{-96+220}{11}$$

Tāpirihia te -96 ki te 220, ka 124.

$$18n=\frac{124}{11}$$

Whakawehea ngā taha e rua ki te 18.

$$n=\frac{\frac{124}{11}}{18}$$

Tuhia te \frac{\frac{124}{11}}{18} hei hautanga kotahi.

$$n=\frac{124}{11\times 18}$$

Whakareatia te 11 ki te 18, ka 198.

$$n=\frac{124}{198}$$

Whakahekea te hautanga \frac{124}{198} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$n=\frac{62}{99}$$