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

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

Whakaoti mō v

$$v = -\frac{9}{7} = -1\frac{2}{7} \approx -1.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{7}{3}v mai i ngā taha e rua.

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

Pahekotia te -\frac{7}{2}v me -\frac{7}{3}v, ka -\frac{35}{6}v.

$$-\frac{35}{6}v-5=\frac{5}{2}$$

Me tāpiri te 5 ki ngā taha e rua.

$$-\frac{35}{6}v=\frac{5}{2}+5$$

Me tahuri te 5 ki te hautau \frac{10}{2}.

$$-\frac{35}{6}v=\frac{5}{2}+\frac{10}{2}$$

Tā te mea he rite te tauraro o \frac{5}{2} me \frac{10}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{35}{6}v=\frac{5+10}{2}$$

Tāpirihia te 5 ki te 10, ka 15.

$$-\frac{35}{6}v=\frac{15}{2}$$

Me whakarea ngā taha e rua ki te -\frac{6}{35}, te tau utu o -\frac{35}{6}.

$$v=\frac{15}{2}\left(-\frac{6}{35}\right)$$

Me whakarea te \frac{15}{2} ki te -\frac{6}{35} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$v=\frac{15\left(-6\right)}{2\times 35}$$

Mahia ngā whakarea i roto i te hautanga \frac{15\left(-6\right)}{2\times 35}.

$$v=\frac{-90}{70}$$

Whakahekea te hautanga \frac{-90}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$v=-\frac{9}{7}$$