Whakaoti i te 8(-61/10)-1/6=3(-61/10)+10

$$\frac { 8 ( - \frac { 61 } { 10 } ) - 1 } { 6 } = 3 ( - \frac { 61 } { 10 } ) + 10$$

Manatoko

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 6,10.

$$5\left(8\left(-\frac{61}{10}\right)-1\right)=90\left(-\frac{61}{10}\right)+300$$

Tuhia te 8\left(-\frac{61}{10}\right) hei hautanga kotahi.

$$5\left(\frac{8\left(-61\right)}{10}-1\right)=90\left(-\frac{61}{10}\right)+300$$

Whakareatia te 8 ki te -61, ka -488.

$$5\left(\frac{-488}{10}-1\right)=90\left(-\frac{61}{10}\right)+300$$

Whakahekea te hautanga \frac{-488}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$5\left(-\frac{244}{5}-1\right)=90\left(-\frac{61}{10}\right)+300$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$5\left(-\frac{244}{5}-\frac{5}{5}\right)=90\left(-\frac{61}{10}\right)+300$$

Tā te mea he rite te tauraro o -\frac{244}{5} me \frac{5}{5}, me tango rāua mā te tango i ō raua taurunga.

$$5\times \frac{-244-5}{5}=90\left(-\frac{61}{10}\right)+300$$

Tangohia te 5 i te -244, ka -249.

$$5\left(-\frac{249}{5}\right)=90\left(-\frac{61}{10}\right)+300$$

Me whakakore te 5 me te 5.

$$-249=90\left(-\frac{61}{10}\right)+300$$

Tuhia te 90\left(-\frac{61}{10}\right) hei hautanga kotahi.

$$-249=\frac{90\left(-61\right)}{10}+300$$

Whakareatia te 90 ki te -61, ka -5490.

$$-249=\frac{-5490}{10}+300$$

Whakawehea te -5490 ki te 10, kia riro ko -549.

$$-249=-549+300$$

Tāpirihia te -549 ki te 300, ka -249.

$$-249=-249$$

Whakatauritea te -249 me te -249.

$$\text{true}$$