Whakaoti i te x-2=3/8*(3-x)

$$x - 2 = \frac { 3 } { 8 } \cdot ( 3 - x )$$

Whakaoti mō x

$$x = \frac{25}{11} = 2\frac{3}{11} \approx 2.272727273$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{8} ki te 3-x.

$$x-2=\frac{3}{8}\times 3+\frac{3}{8}\left(-1\right)x$$

Tuhia te \frac{3}{8}\times 3 hei hautanga kotahi.

$$x-2=\frac{3\times 3}{8}+\frac{3}{8}\left(-1\right)x$$

Whakareatia te 3 ki te 3, ka 9.

$$x-2=\frac{9}{8}+\frac{3}{8}\left(-1\right)x$$

Whakareatia te \frac{3}{8} ki te -1, ka -\frac{3}{8}.

$$x-2=\frac{9}{8}-\frac{3}{8}x$$

Me tāpiri te \frac{3}{8}x ki ngā taha e rua.

$$x-2+\frac{3}{8}x=\frac{9}{8}$$

Pahekotia te x me \frac{3}{8}x, ka \frac{11}{8}x.

$$\frac{11}{8}x-2=\frac{9}{8}$$

Me tāpiri te 2 ki ngā taha e rua.

$$\frac{11}{8}x=\frac{9}{8}+2$$

Me tahuri te 2 ki te hautau \frac{16}{8}.

$$\frac{11}{8}x=\frac{9}{8}+\frac{16}{8}$$

Tā te mea he rite te tauraro o \frac{9}{8} me \frac{16}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{11}{8}x=\frac{9+16}{8}$$

Tāpirihia te 9 ki te 16, ka 25.

$$\frac{11}{8}x=\frac{25}{8}$$

Me whakarea ngā taha e rua ki te \frac{8}{11}, te tau utu o \frac{11}{8}.

$$x=\frac{25}{8}\times \frac{8}{11}$$

Me whakarea te \frac{25}{8} ki te \frac{8}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{25\times 8}{8\times 11}$$

Me whakakore tahi te 8 i te taurunga me te tauraro.

$$x=\frac{25}{11}$$