Whakaoti i te 1/3-1/2m=1/6m+7/9

$$\frac{ 1 }{ 3 } - \frac{ 1 }{ 2 } m = \frac{ 1 }{ 6 } m+ \frac{ 7 }{ 9 }$$

Whakaoti mō m

$$m=-\frac{2}{3}\approx -0.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{1}{6}m mai i ngā taha e rua.

$$\frac{1}{3}-\frac{1}{2}m-\frac{1}{6}m=\frac{7}{9}$$

Pahekotia te -\frac{1}{2}m me -\frac{1}{6}m, ka -\frac{2}{3}m.

$$\frac{1}{3}-\frac{2}{3}m=\frac{7}{9}$$

Tangohia te \frac{1}{3} mai i ngā taha e rua.

$$-\frac{2}{3}m=\frac{7}{9}-\frac{1}{3}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{7}{9} me \frac{1}{3} ki te hautau me te tautūnga 9.

$$-\frac{2}{3}m=\frac{7}{9}-\frac{3}{9}$$

Tā te mea he rite te tauraro o \frac{7}{9} me \frac{3}{9}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{2}{3}m=\frac{7-3}{9}$$

Tangohia te 3 i te 7, ka 4.

$$-\frac{2}{3}m=\frac{4}{9}$$

Me whakarea ngā taha e rua ki te -\frac{3}{2}, te tau utu o -\frac{2}{3}.

$$m=\frac{4}{9}\left(-\frac{3}{2}\right)$$

Me whakarea te \frac{4}{9} ki te -\frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$m=\frac{4\left(-3\right)}{9\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-3\right)}{9\times 2}.

$$m=\frac{-12}{18}$$

Whakahekea te hautanga \frac{-12}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$m=-\frac{2}{3}$$