Whakaoti i te 11x-10=(11x-1)5/6

$$11 x - 10 = ( 11 x - 1 ) \frac { 5 } { 6 }$$

Whakaoti mō x

$$x=5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 11x-1 ki te \frac{5}{6}.

$$11x-10=11x\times \frac{5}{6}-\frac{5}{6}$$

Tuhia te 11\times \frac{5}{6} hei hautanga kotahi.

$$11x-10=\frac{11\times 5}{6}x-\frac{5}{6}$$

Whakareatia te 11 ki te 5, ka 55.

$$11x-10=\frac{55}{6}x-\frac{5}{6}$$

Tangohia te \frac{55}{6}x mai i ngā taha e rua.

$$11x-10-\frac{55}{6}x=-\frac{5}{6}$$

Pahekotia te 11x me -\frac{55}{6}x, ka \frac{11}{6}x.

$$\frac{11}{6}x-10=-\frac{5}{6}$$

Me tāpiri te 10 ki ngā taha e rua.

$$\frac{11}{6}x=-\frac{5}{6}+10$$

Me tahuri te 10 ki te hautau \frac{60}{6}.

$$\frac{11}{6}x=-\frac{5}{6}+\frac{60}{6}$$

Tā te mea he rite te tauraro o -\frac{5}{6} me \frac{60}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{11}{6}x=\frac{-5+60}{6}$$

Tāpirihia te -5 ki te 60, ka 55.

$$\frac{11}{6}x=\frac{55}{6}$$

Me whakarea ngā taha e rua ki te \frac{6}{11}, te tau utu o \frac{11}{6}.

$$x=\frac{55}{6}\times \frac{6}{11}$$

Me whakarea te \frac{55}{6} ki te \frac{6}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{55\times 6}{6\times 11}$$

Me whakakore tahi te 6 i te taurunga me te tauraro.

$$x=\frac{55}{11}$$

Whakawehea te 55 ki te 11, kia riro ko 5.

$$x=5$$