Whakaoti i te -1/4=1/2x-8/7

$$- \frac { 1 } { 4 } = \frac { 1 } { 2 } x - \frac { 8 } { 7 }$$

Whakaoti mō x

$$x = \frac{25}{14} = 1\frac{11}{14} \approx 1.785714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{1}{2}x-\frac{8}{7}=-\frac{1}{4}$$

Me tāpiri te \frac{8}{7} ki ngā taha e rua.

$$\frac{1}{2}x=-\frac{1}{4}+\frac{8}{7}$$

Ko te maha noa iti rawa atu o 4 me 7 ko 28. Me tahuri -\frac{1}{4} me \frac{8}{7} ki te hautau me te tautūnga 28.

$$\frac{1}{2}x=-\frac{7}{28}+\frac{32}{28}$$

Tā te mea he rite te tauraro o -\frac{7}{28} me \frac{32}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{2}x=\frac{-7+32}{28}$$

Tāpirihia te -7 ki te 32, ka 25.

$$\frac{1}{2}x=\frac{25}{28}$$

Me whakarea ngā taha e rua ki te 2, te tau utu o \frac{1}{2}.

$$x=\frac{25}{28}\times 2$$

Tuhia te \frac{25}{28}\times 2 hei hautanga kotahi.

$$x=\frac{25\times 2}{28}$$

Whakareatia te 25 ki te 2, ka 50.

$$x=\frac{50}{28}$$

Whakahekea te hautanga \frac{50}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{25}{14}$$