Whakaoti i te 4/t+7/3=1/2-4/3t

$$\frac { 4 } { t } + \frac { 7 } { 3 } = \frac { 1 } { 2 } - \frac { 4 } { 3 t }$$

Whakaoti mō t

$$t = -\frac{32}{11} = -2\frac{10}{11} \approx -2.909090909$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe t ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 6t, arā, te tauraro pātahi he tino iti rawa te kitea o t,3,2,3t.

$$6\times 4+6t\times \frac{7}{3}=6t\times \frac{1}{2}-2\times 4$$

Whakareatia te 6 ki te 4, ka 24.

$$24+6t\times \frac{7}{3}=6t\times \frac{1}{2}-2\times 4$$

Whakareatia te 6 ki te \frac{7}{3}, ka 14.

$$24+14t=6t\times \frac{1}{2}-2\times 4$$

Whakareatia te 6 ki te \frac{1}{2}, ka 3.

$$24+14t=3t-2\times 4$$

Whakareatia te -2 ki te 4, ka -8.

$$24+14t=3t-8$$

Tangohia te 3t mai i ngā taha e rua.

$$24+14t-3t=-8$$

Pahekotia te 14t me -3t, ka 11t.

$$24+11t=-8$$

Tangohia te 24 mai i ngā taha e rua.

$$11t=-8-24$$

Tangohia te 24 i te -8, ka -32.

$$11t=-32$$

Whakawehea ngā taha e rua ki te 11.

$$t=\frac{-32}{11}$$

Ka taea te hautanga \frac{-32}{11} te tuhi anō ko -\frac{32}{11} mā te tango i te tohu tōraro.

$$t=-\frac{32}{11}$$