Whakaoti i te 2/5x-2/9(x+2)=4

$$\frac { 2 } { 5 } x - \frac { 2 } { 9 } ( x + 2 ) = 4$$

Whakaoti mō x

$$x=25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{2}{9} ki te x+2.

$$\frac{2}{5}x-\frac{2}{9}x-\frac{2}{9}\times 2=4$$

Tuhia te -\frac{2}{9}\times 2 hei hautanga kotahi.

$$\frac{2}{5}x-\frac{2}{9}x+\frac{-2\times 2}{9}=4$$

Whakareatia te -2 ki te 2, ka -4.

$$\frac{2}{5}x-\frac{2}{9}x+\frac{-4}{9}=4$$

Ka taea te hautanga \frac{-4}{9} te tuhi anō ko -\frac{4}{9} mā te tango i te tohu tōraro.

$$\frac{2}{5}x-\frac{2}{9}x-\frac{4}{9}=4$$

Pahekotia te \frac{2}{5}x me -\frac{2}{9}x, ka \frac{8}{45}x.

$$\frac{8}{45}x-\frac{4}{9}=4$$

Me tāpiri te \frac{4}{9} ki ngā taha e rua.

$$\frac{8}{45}x=4+\frac{4}{9}$$

Me tahuri te 4 ki te hautau \frac{36}{9}.

$$\frac{8}{45}x=\frac{36}{9}+\frac{4}{9}$$

Tā te mea he rite te tauraro o \frac{36}{9} me \frac{4}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8}{45}x=\frac{36+4}{9}$$

Tāpirihia te 36 ki te 4, ka 40.

$$\frac{8}{45}x=\frac{40}{9}$$

Me whakarea ngā taha e rua ki te \frac{45}{8}, te tau utu o \frac{8}{45}.

$$x=\frac{40}{9}\times \frac{45}{8}$$

Me whakarea te \frac{40}{9} ki te \frac{45}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{40\times 45}{9\times 8}$$

Mahia ngā whakarea i roto i te hautanga \frac{40\times 45}{9\times 8}.

$$x=\frac{1800}{72}$$

Whakawehea te 1800 ki te 72, kia riro ko 25.

$$x=25$$