Whakaoti i te 0.05+0.02x/0.03-1-0.3x/0.2=1

$$\frac { 0.05 + 0.02 x } { 0.03 } - \frac { 1 - 0.3 x } { 0.2 } = 1$$

Whakaoti mō x

$$x=2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ia wā o 0.05+0.02x ki te 0.03, kia riro ko \frac{0.05}{0.03}+\frac{0.02x}{0.03}.

$$\frac{0.05}{0.03}+\frac{0.02x}{0.03}-\frac{1-0.3x}{0.2}=1$$

Whakarohaina te \frac{0.05}{0.03} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{5}{3}+\frac{0.02x}{0.03}-\frac{1-0.3x}{0.2}=1$$

Whakawehea te 0.02x ki te 0.03, kia riro ko \frac{2}{3}x.

$$\frac{5}{3}+\frac{2}{3}x-\frac{1-0.3x}{0.2}=1$$

Whakawehea ia wā o 1-0.3x ki te 0.2, kia riro ko \frac{1}{0.2}+\frac{-0.3x}{0.2}.

$$\frac{5}{3}+\frac{2}{3}x-\left(\frac{1}{0.2}+\frac{-0.3x}{0.2}\right)=1$$

Whakarohaina te \frac{1}{0.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{5}{3}+\frac{2}{3}x-\left(\frac{10}{2}+\frac{-0.3x}{0.2}\right)=1$$

Whakawehea te 10 ki te 2, kia riro ko 5.

$$\frac{5}{3}+\frac{2}{3}x-\left(5+\frac{-0.3x}{0.2}\right)=1$$

Whakawehea te -0.3x ki te 0.2, kia riro ko -1.5x.

$$\frac{5}{3}+\frac{2}{3}x-\left(5-1.5x\right)=1$$

Hei kimi i te tauaro o 5-1.5x, kimihia te tauaro o ia taurangi.

$$\frac{5}{3}+\frac{2}{3}x-5-\left(-1.5x\right)=1$$

Ko te tauaro o -1.5x ko 1.5x.

$$\frac{5}{3}+\frac{2}{3}x-5+1.5x=1$$

Me tahuri te 5 ki te hautau \frac{15}{3}.

$$\frac{5}{3}+\frac{2}{3}x-\frac{15}{3}+1.5x=1$$

Tā te mea he rite te tauraro o \frac{5}{3} me \frac{15}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5-15}{3}+\frac{2}{3}x+1.5x=1$$

Tangohia te 15 i te 5, ka -10.

$$-\frac{10}{3}+\frac{2}{3}x+1.5x=1$$

Pahekotia te \frac{2}{3}x me 1.5x, ka \frac{13}{6}x.

$$-\frac{10}{3}+\frac{13}{6}x=1$$

Me tāpiri te \frac{10}{3} ki ngā taha e rua.

$$\frac{13}{6}x=1+\frac{10}{3}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{13}{6}x=\frac{3}{3}+\frac{10}{3}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{10}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{13}{6}x=\frac{3+10}{3}$$

Tāpirihia te 3 ki te 10, ka 13.

$$\frac{13}{6}x=\frac{13}{3}$$

Whakawehea ngā taha e rua ki te \frac{13}{6}.

$$x=\frac{\frac{13}{3}}{\frac{13}{6}}$$

Tuhia te \frac{\frac{13}{3}}{\frac{13}{6}} hei hautanga kotahi.

$$x=\frac{13}{3\times \frac{13}{6}}$$

Whakareatia te 3 ki te \frac{13}{6}, ka 6.5.

$$x=\frac{13}{6.5}$$

Whakarohaina te \frac{13}{6.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{130}{65}$$

Whakawehea te 130 ki te 65, kia riro ko 2.

$$x=2$$