Whakaoti i te x=260-150+0.1/2*(150+x)

$$x = 260 - 150 + \frac { 0.1 } { 2 } \cdot ( 150 + x )$$

Whakaoti mō x

$$x = \frac{2350}{19} = 123\frac{13}{19} \approx 123.684210526$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 150 i te 260, ka 110.

$$x=110+\frac{0.1}{2}\left(150+x\right)$$

Whakarohaina te \frac{0.1}{2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=110+\frac{1}{20}\left(150+x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{20} ki te 150+x.

$$x=110+\frac{1}{20}\times 150+\frac{1}{20}x$$

Whakareatia te \frac{1}{20} ki te 150, ka \frac{150}{20}.

$$x=110+\frac{150}{20}+\frac{1}{20}x$$

Whakahekea te hautanga \frac{150}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$x=110+\frac{15}{2}+\frac{1}{20}x$$

Me tahuri te 110 ki te hautau \frac{220}{2}.

$$x=\frac{220}{2}+\frac{15}{2}+\frac{1}{20}x$$

Tā te mea he rite te tauraro o \frac{220}{2} me \frac{15}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$x=\frac{220+15}{2}+\frac{1}{20}x$$

Tāpirihia te 220 ki te 15, ka 235.

$$x=\frac{235}{2}+\frac{1}{20}x$$

Tangohia te \frac{1}{20}x mai i ngā taha e rua.

$$x-\frac{1}{20}x=\frac{235}{2}$$

Pahekotia te x me -\frac{1}{20}x, ka \frac{19}{20}x.

$$\frac{19}{20}x=\frac{235}{2}$$

Me whakarea ngā taha e rua ki te \frac{20}{19}, te tau utu o \frac{19}{20}.

$$x=\frac{235}{2}\times \frac{20}{19}$$

Me whakarea te \frac{235}{2} ki te \frac{20}{19} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{235\times 20}{2\times 19}$$

Mahia ngā whakarea i roto i te hautanga \frac{235\times 20}{2\times 19}.

$$x=\frac{4700}{38}$$

Whakahekea te hautanga \frac{4700}{38} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{2350}{19}$$