Whakaoti i te x-1/4=2/3x-2

$$x - \frac { 1 } { 4 } = \frac { 2 } { 3 } x - 2$$

Whakaoti mō x

$$x = -\frac{21}{4} = -5\frac{1}{4} = -5.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{2}{3}x mai i ngā taha e rua.

$$x-\frac{1}{4}-\frac{2}{3}x=-2$$

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

$$\frac{1}{3}x-\frac{1}{4}=-2$$

Me tāpiri te \frac{1}{4} ki ngā taha e rua.

$$\frac{1}{3}x=-2+\frac{1}{4}$$

Me tahuri te -2 ki te hautau -\frac{8}{4}.

$$\frac{1}{3}x=-\frac{8}{4}+\frac{1}{4}$$

Tā te mea he rite te tauraro o -\frac{8}{4} me \frac{1}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{3}x=\frac{-8+1}{4}$$

Tāpirihia te -8 ki te 1, ka -7.

$$\frac{1}{3}x=-\frac{7}{4}$$

Me whakarea ngā taha e rua ki te 3, te tau utu o \frac{1}{3}.

$$x=-\frac{7}{4}\times 3$$

Tuhia te -\frac{7}{4}\times 3 hei hautanga kotahi.

$$x=\frac{-7\times 3}{4}$$

Whakareatia te -7 ki te 3, ka -21.

$$x=\frac{-21}{4}$$

Ka taea te hautanga \frac{-21}{4} te tuhi anō ko -\frac{21}{4} mā te tango i te tohu tōraro.

$$x=-\frac{21}{4}$$