Whakaoti i te 14(2t-3)-2(t+2)=10(3t-4)

$$14 ( 2 t - 3 ) - 2 ( t + 2 ) = 10 ( 3 t - 4 )$$

Whakaoti mō t

$$t = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 14 ki te 2t-3.

$$28t-42-2\left(t+2\right)=10\left(3t-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te t+2.

$$28t-42-2t-4=10\left(3t-4\right)$$

Pahekotia te 28t me -2t, ka 26t.

$$26t-42-4=10\left(3t-4\right)$$

Tangohia te 4 i te -42, ka -46.

$$26t-46=10\left(3t-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te 3t-4.

$$26t-46=30t-40$$

Tangohia te 30t mai i ngā taha e rua.

$$26t-46-30t=-40$$

Pahekotia te 26t me -30t, ka -4t.

$$-4t-46=-40$$

Me tāpiri te 46 ki ngā taha e rua.

$$-4t=-40+46$$

Tāpirihia te -40 ki te 46, ka 6.

$$-4t=6$$

Whakawehea ngā taha e rua ki te -4.

$$t=\frac{6}{-4}$$

Whakahekea te hautanga \frac{6}{-4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$t=-\frac{3}{2}$$