Whakaoti i te -2/5=-1/2y-6/7

$$- \frac { 2 } { 5 } = - \frac { 1 } { 2 } y - \frac { 6 } { 7 }$$

Whakaoti mō y

$$y=-\frac{32}{35}\approx -0.914285714$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$-\frac{1}{2}y-\frac{6}{7}=-\frac{2}{5}$$

Me tāpiri te \frac{6}{7} ki ngā taha e rua.

$$-\frac{1}{2}y=-\frac{2}{5}+\frac{6}{7}$$

Ko te maha noa iti rawa atu o 5 me 7 ko 35. Me tahuri -\frac{2}{5} me \frac{6}{7} ki te hautau me te tautūnga 35.

$$-\frac{1}{2}y=-\frac{14}{35}+\frac{30}{35}$$

Tā te mea he rite te tauraro o -\frac{14}{35} me \frac{30}{35}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{1}{2}y=\frac{-14+30}{35}$$

Tāpirihia te -14 ki te 30, ka 16.

$$-\frac{1}{2}y=\frac{16}{35}$$

Me whakarea ngā taha e rua ki te -2, te tau utu o -\frac{1}{2}.

$$y=\frac{16}{35}\left(-2\right)$$

Tuhia te \frac{16}{35}\left(-2\right) hei hautanga kotahi.

$$y=\frac{16\left(-2\right)}{35}$$

Whakareatia te 16 ki te -2, ka -32.

$$y=\frac{-32}{35}$$

Ka taea te hautanga \frac{-32}{35} te tuhi anō ko -\frac{32}{35} mā te tango i te tohu tōraro.

$$y=-\frac{32}{35}$$