Whakaoti i te 6-1/6x=5/6

$$6- \frac{ 1 }{ 6 } x= \frac{ 5 }{ 6 }$$

Whakaoti mō x

$$x=31$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 6 mai i ngā taha e rua.

$$-\frac{1}{6}x=\frac{5}{6}-6$$

Me tahuri te 6 ki te hautau \frac{36}{6}.

$$-\frac{1}{6}x=\frac{5}{6}-\frac{36}{6}$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{36}{6}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{1}{6}x=\frac{5-36}{6}$$

Tangohia te 36 i te 5, ka -31.

$$-\frac{1}{6}x=-\frac{31}{6}$$

Me whakarea ngā taha e rua ki te -6, te tau utu o -\frac{1}{6}.

$$x=-\frac{31}{6}\left(-6\right)$$

Tuhia te -\frac{31}{6}\left(-6\right) hei hautanga kotahi.

$$x=\frac{-31\left(-6\right)}{6}$$

Whakareatia te -31 ki te -6, ka 186.

$$x=\frac{186}{6}$$

Whakawehea te 186 ki te 6, kia riro ko 31.

$$x=31$$