Whakaoti i te 2x/3-1/2=1/3(x-7/3)

$$2 x / 3 - 1 / 2 = 1 / 3 ( x - 7 / 3 )$$

Whakaoti mō x

$$x=-\frac{5}{6}\approx -0.833333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 3,2.

$$2\times 2x-3=2\left(x-\frac{7}{3}\right)$$

Whakareatia te 2 ki te 2, ka 4.

$$4x-3=2\left(x-\frac{7}{3}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x-\frac{7}{3}.

$$4x-3=2x+2\left(-\frac{7}{3}\right)$$

Tuhia te 2\left(-\frac{7}{3}\right) hei hautanga kotahi.

$$4x-3=2x+\frac{2\left(-7\right)}{3}$$

Whakareatia te 2 ki te -7, ka -14.

$$4x-3=2x+\frac{-14}{3}$$

Ka taea te hautanga \frac{-14}{3} te tuhi anō ko -\frac{14}{3} mā te tango i te tohu tōraro.

$$4x-3=2x-\frac{14}{3}$$

Tangohia te 2x mai i ngā taha e rua.

$$4x-3-2x=-\frac{14}{3}$$

Pahekotia te 4x me -2x, ka 2x.

$$2x-3=-\frac{14}{3}$$

Me tāpiri te 3 ki ngā taha e rua.

$$2x=-\frac{14}{3}+3$$

Me tahuri te 3 ki te hautau \frac{9}{3}.

$$2x=-\frac{14}{3}+\frac{9}{3}$$

Tā te mea he rite te tauraro o -\frac{14}{3} me \frac{9}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$2x=\frac{-14+9}{3}$$

Tāpirihia te -14 ki te 9, ka -5.

$$2x=-\frac{5}{3}$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{-\frac{5}{3}}{2}$$

Tuhia te \frac{-\frac{5}{3}}{2} hei hautanga kotahi.

$$x=\frac{-5}{3\times 2}$$

Whakareatia te 3 ki te 2, ka 6.

$$x=\frac{-5}{6}$$

Ka taea te hautanga \frac{-5}{6} te tuhi anō ko -\frac{5}{6} mā te tango i te tohu tōraro.

$$x=-\frac{5}{6}$$