Whakaoti i te 54x+14=27/30

$$54 x + 14 = \frac { 27 } { 30 }$$

Whakaoti mō x

$$x=-\frac{131}{540}\approx -0.242592593$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{27}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$54x+14=\frac{9}{10}$$

Tangohia te 14 mai i ngā taha e rua.

$$54x=\frac{9}{10}-14$$

Me tahuri te 14 ki te hautau \frac{140}{10}.

$$54x=\frac{9}{10}-\frac{140}{10}$$

Tā te mea he rite te tauraro o \frac{9}{10} me \frac{140}{10}, me tango rāua mā te tango i ō raua taurunga.

$$54x=\frac{9-140}{10}$$

Tangohia te 140 i te 9, ka -131.

$$54x=-\frac{131}{10}$$

Whakawehea ngā taha e rua ki te 54.

$$x=\frac{-\frac{131}{10}}{54}$$

Tuhia te \frac{-\frac{131}{10}}{54} hei hautanga kotahi.

$$x=\frac{-131}{10\times 54}$$

Whakareatia te 10 ki te 54, ka 540.

$$x=\frac{-131}{540}$$

Ka taea te hautanga \frac{-131}{540} te tuhi anō ko -\frac{131}{540} mā te tango i te tohu tōraro.

$$x=-\frac{131}{540}$$