Whakaoti i te 32%x+16%=1.44-12%x

$$32 \% x + 16 \% = 1.44 - 12 \% x$$

Whakaoti mō x

$$x = \frac{32}{11} = 2\frac{10}{11} \approx 2.909090909$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{32}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{8}{25}x+\frac{16}{100}=1.44-\frac{12}{100}x$$

Whakahekea te hautanga \frac{16}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{8}{25}x+\frac{4}{25}=1.44-\frac{12}{100}x$$

Whakahekea te hautanga \frac{12}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{8}{25}x+\frac{4}{25}=1.44-\frac{3}{25}x$$

Me tāpiri te \frac{3}{25}x ki ngā taha e rua.

$$\frac{8}{25}x+\frac{4}{25}+\frac{3}{25}x=1.44$$

Pahekotia te \frac{8}{25}x me \frac{3}{25}x, ka \frac{11}{25}x.

$$\frac{11}{25}x+\frac{4}{25}=1.44$$

Tangohia te \frac{4}{25} mai i ngā taha e rua.

$$\frac{11}{25}x=1.44-\frac{4}{25}$$

Me tahuri ki tau ā-ira 1.44 ki te hautau \frac{144}{100}. Whakahekea te hautanga \frac{144}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{11}{25}x=\frac{36}{25}-\frac{4}{25}$$

Tā te mea he rite te tauraro o \frac{36}{25} me \frac{4}{25}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{11}{25}x=\frac{36-4}{25}$$

Tangohia te 4 i te 36, ka 32.

$$\frac{11}{25}x=\frac{32}{25}$$

Me whakarea ngā taha e rua ki te \frac{25}{11}, te tau utu o \frac{11}{25}.

$$x=\frac{32}{25}\times \frac{25}{11}$$

Me whakarea te \frac{32}{25} ki te \frac{25}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{32\times 25}{25\times 11}$$

Me whakakore tahi te 25 i te taurunga me te tauraro.

$$x=\frac{32}{11}$$