Whakaoti i te 6/7x+32/7=-6

$$\frac{ 6 }{ 7 } x+ \frac{ 32 }{ 7 } =-6$$

Whakaoti mō x

$$x = -\frac{37}{3} = -12\frac{1}{3} \approx -12.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{32}{7} mai i ngā taha e rua.

$$\frac{6}{7}x=-6-\frac{32}{7}$$

Me tahuri te -6 ki te hautau -\frac{42}{7}.

$$\frac{6}{7}x=-\frac{42}{7}-\frac{32}{7}$$

Tā te mea he rite te tauraro o -\frac{42}{7} me \frac{32}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{6}{7}x=\frac{-42-32}{7}$$

Tangohia te 32 i te -42, ka -74.

$$\frac{6}{7}x=-\frac{74}{7}$$

Me whakarea ngā taha e rua ki te \frac{7}{6}, te tau utu o \frac{6}{7}.

$$x=-\frac{74}{7}\times \frac{7}{6}$$

Me whakarea te -\frac{74}{7} ki te \frac{7}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-74\times 7}{7\times 6}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$x=\frac{-74}{6}$$

Whakahekea te hautanga \frac{-74}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{37}{3}$$