Whakaoti i te 1/2(u-3)=2u-1/2

$$\frac { 1 } { 2 } ( u - 3 ) = 2 u - \frac { 1 } { 2 }$$

Whakaoti mō u

$$u=-\frac{2}{3}\approx -0.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te u-3.

$$\frac{1}{2}u+\frac{1}{2}\left(-3\right)=2u-\frac{1}{2}$$

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

$$\frac{1}{2}u+\frac{-3}{2}=2u-\frac{1}{2}$$

Ka taea te hautanga \frac{-3}{2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

$$\frac{1}{2}u-\frac{3}{2}=2u-\frac{1}{2}$$

Tangohia te 2u mai i ngā taha e rua.

$$\frac{1}{2}u-\frac{3}{2}-2u=-\frac{1}{2}$$

Pahekotia te \frac{1}{2}u me -2u, ka -\frac{3}{2}u.

$$-\frac{3}{2}u-\frac{3}{2}=-\frac{1}{2}$$

Me tāpiri te \frac{3}{2} ki ngā taha e rua.

$$-\frac{3}{2}u=-\frac{1}{2}+\frac{3}{2}$$

Tā te mea he rite te tauraro o -\frac{1}{2} me \frac{3}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{3}{2}u=\frac{-1+3}{2}$$

Tāpirihia te -1 ki te 3, ka 2.

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

Whakawehea te 2 ki te 2, kia riro ko 1.

$$-\frac{3}{2}u=1$$

Me whakarea ngā taha e rua ki te -\frac{2}{3}, te tau utu o -\frac{3}{2}.

$$u=1\left(-\frac{2}{3}\right)$$

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

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