Whakaoti i te 0.3x-0.6/0.1=0.03x+0.02/0.02-1

$$\frac { 0.3 x - 0.6 } { 0.1 } = \frac { 0.03 x + 0.02 } { 0.02 } - 1$$

Whakaoti mō x

$$x=4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ia wā o 0.3x-0.6 ki te 0.1, kia riro ko \frac{0.3x}{0.1}+\frac{-0.6}{0.1}.

$$\frac{0.3x}{0.1}+\frac{-0.6}{0.1}=\frac{0.03x+0.02}{0.02}-1$$

Whakawehea te 0.3x ki te 0.1, kia riro ko 3x.

$$3x+\frac{-0.6}{0.1}=\frac{0.03x+0.02}{0.02}-1$$

Whakarohaina te \frac{-0.6}{0.1} mā te whakarea i te taurunga me te tauraro ki te 10. Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$3x-6=\frac{0.03x+0.02}{0.02}-1$$

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

$$3x-6=\frac{0.03x}{0.02}+\frac{0.02}{0.02}-1$$

Whakawehea te 0.03x ki te 0.02, kia riro ko 1.5x.

$$3x-6=1.5x+\frac{0.02}{0.02}-1$$

Whakawehea te 0.02 ki te 0.02, kia riro ko 1.

$$3x-6=1.5x+1-1$$

Tangohia te 1 i te 1, ka 0.

$$3x-6=1.5x$$

Tangohia te 1.5x mai i ngā taha e rua.

$$3x-6-1.5x=0$$

Pahekotia te 3x me -1.5x, ka 1.5x.

$$1.5x-6=0$$

Me tāpiri te 6 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$1.5x=6$$

Whakawehea ngā taha e rua ki te 1.5.

$$x=\frac{6}{1.5}$$

Whakarohaina te \frac{6}{1.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{60}{15}$$

Whakawehea te 60 ki te 15, kia riro ko 4.

$$x=4$$