Whakaoti i te x*0.5+6.18/0.71-81.5+x*0.87=0

$$\frac{ x \times 0.5+6.18 }{ 0.71 } -81.5+x \times 0.87=0$$

Whakaoti mō x

$$x = \frac{516850}{11177} = 46\frac{2708}{11177} \approx 46.24228326$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ia wā o x\times 0.5+6.18 ki te 0.71, kia riro ko \frac{x\times 0.5}{0.71}+\frac{6.18}{0.71}.

$$\frac{x\times 0.5}{0.71}+\frac{6.18}{0.71}-81.5+x\times 0.87=0$$

Whakawehea te x\times 0.5 ki te 0.71, kia riro ko x\times \frac{50}{71}.

$$x\times \frac{50}{71}+\frac{6.18}{0.71}-81.5+x\times 0.87=0$$

Whakarohaina te \frac{6.18}{0.71} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x\times \frac{50}{71}+\frac{618}{71}-81.5+x\times 0.87=0$$

Me tahuri ki tau ā-ira 81.5 ki te hautau \frac{815}{10}. Whakahekea te hautanga \frac{815}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x\times \frac{50}{71}+\frac{618}{71}-\frac{163}{2}+x\times 0.87=0$$

Ko te maha noa iti rawa atu o 71 me 2 ko 142. Me tahuri \frac{618}{71} me \frac{163}{2} ki te hautau me te tautūnga 142.

$$x\times \frac{50}{71}+\frac{1236}{142}-\frac{11573}{142}+x\times 0.87=0$$

Tā te mea he rite te tauraro o \frac{1236}{142} me \frac{11573}{142}, me tango rāua mā te tango i ō raua taurunga.

$$x\times \frac{50}{71}+\frac{1236-11573}{142}+x\times 0.87=0$$

Tangohia te 11573 i te 1236, ka -10337.

$$x\times \frac{50}{71}-\frac{10337}{142}+x\times 0.87=0$$

Pahekotia te x\times \frac{50}{71} me x\times 0.87, ka \frac{11177}{7100}x.

$$\frac{11177}{7100}x-\frac{10337}{142}=0$$

Me tāpiri te \frac{10337}{142} ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{11177}{7100}x=\frac{10337}{142}$$

Whakawehea ngā taha e rua ki te \frac{11177}{7100}.

$$x=\frac{\frac{10337}{142}}{\frac{11177}{7100}}$$

Tuhia te \frac{\frac{10337}{142}}{\frac{11177}{7100}} hei hautanga kotahi.

$$x=\frac{10337}{142\times \frac{11177}{7100}}$$

Whakareatia te 142 ki te \frac{11177}{7100}, ka 223.54.

$$x=\frac{10337}{223.54}$$

Whakarohaina te \frac{10337}{223.54} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x=\frac{1033700}{22354}$$

Whakahekea te hautanga \frac{1033700}{22354} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{516850}{11177}$$