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

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

Whakaoti mō u

$$u=0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

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

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

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

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

Tangohia te 2u mai i ngā taha e rua.

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

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

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

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

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

Tāpirihia te -\frac{3}{2} ki te \frac{3}{2}, ka 0.

$$-\frac{3}{2}u=0$$

He ōrite te hua o ngā tau e rua ki 0 ina 0 tētahi o rāua te iti rawa. Tātemea kāore te -\frac{3}{2} e ōrite ki 0, me ōrite pū te u ki 0.

$$u=0$$