Whakaoti i te 2(9/8-x/10)+x/3=5

$$2 ( \frac { 9 } { 8 } - \frac { x } { 10 } ) + \frac { x } { 3 } = 5$$

Whakaoti mō x

$$x = \frac{165}{8} = 20\frac{5}{8} = 20.625$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 120, arā, te tauraro pātahi he tino iti rawa te kitea o 8,10,3.

$$240\left(\frac{9}{8}-\frac{x}{10}\right)+40x=600$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 8 me 10 ko 40. Whakareatia \frac{9}{8} ki te \frac{5}{5}. Whakareatia \frac{x}{10} ki te \frac{4}{4}.

$$240\left(\frac{9\times 5}{40}-\frac{4x}{40}\right)+40x=600$$

Tā te mea he rite te tauraro o \frac{9\times 5}{40} me \frac{4x}{40}, me tango rāua mā te tango i ō raua taurunga.

$$240\times \frac{9\times 5-4x}{40}+40x=600$$

Mahia ngā whakarea i roto o 9\times 5-4x.

$$240\times \frac{45-4x}{40}+40x=600$$

Whakakorea atu te tauwehe pūnoa nui rawa 40 i roto i te 240 me te 40.

$$6\left(45-4x\right)+40x=600$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te 45-4x.

$$270-24x+40x=600$$

Pahekotia te -24x me 40x, ka 16x.

$$270+16x=600$$

Tangohia te 270 mai i ngā taha e rua.

$$16x=600-270$$

Tangohia te 270 i te 600, ka 330.

$$16x=330$$

Whakawehea ngā taha e rua ki te 16.

$$x=\frac{330}{16}$$

Whakahekea te hautanga \frac{330}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{165}{8}$$