Whakaoti i te 3/5v-7/3=-7v-2/3

$$\frac { 3 } { 5 } v - \frac { 7 } { 3 } = - 7 v - \frac { 2 } { 3 }$$

Whakaoti mō v

$$v=\frac{25}{114}\approx 0.219298246$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te 7v ki ngā taha e rua.

$$\frac{3}{5}v-\frac{7}{3}+7v=-\frac{2}{3}$$

Pahekotia te \frac{3}{5}v me 7v, ka \frac{38}{5}v.

$$\frac{38}{5}v-\frac{7}{3}=-\frac{2}{3}$$

Me tāpiri te \frac{7}{3} ki ngā taha e rua.

$$\frac{38}{5}v=-\frac{2}{3}+\frac{7}{3}$$

Tā te mea he rite te tauraro o -\frac{2}{3} me \frac{7}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{38}{5}v=\frac{-2+7}{3}$$

Tāpirihia te -2 ki te 7, ka 5.

$$\frac{38}{5}v=\frac{5}{3}$$

Me whakarea ngā taha e rua ki te \frac{5}{38}, te tau utu o \frac{38}{5}.

$$v=\frac{5}{3}\times \frac{5}{38}$$

Me whakarea te \frac{5}{3} ki te \frac{5}{38} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$v=\frac{5\times 5}{3\times 38}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 5}{3\times 38}.

$$v=\frac{25}{114}$$