Whakaoti i te {l}{3t+6=8t-(3-2t)}{2-{2m+[2m-(2-2m)]}

$$\left. \begin{array} { l } { 3 t + 6 = 8 t - ( 3 - 2 t ) } \\ { 2 - \{ 2 m + [ 2 m - ( 2 - 2 m ) ] } \end{array} \right.$$

Whakaoti mō t

$$t = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei kimi i te tauaro o 3-2t, kimihia te tauaro o ia taurangi.

$$3t+6=8t-3-\left(-2t\right)$$

Ko te tauaro o -2t ko 2t.

$$3t+6=8t-3+2t$$

Pahekotia te 8t me 2t, ka 10t.

$$3t+6=10t-3$$

Tangohia te 10t mai i ngā taha e rua.

$$3t+6-10t=-3$$

Pahekotia te 3t me -10t, ka -7t.

$$-7t+6=-3$$

Tangohia te 6 mai i ngā taha e rua.

$$-7t=-3-6$$

Tangohia te 6 i te -3, ka -9.

$$-7t=-9$$

Whakawehea ngā taha e rua ki te -7.

$$t=\frac{-9}{-7}$$

Ka taea te hautanga \frac{-9}{-7} te whakamāmā ki te \frac{9}{7} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$t=\frac{9}{7}$$