Whakaoti i te x=40%*3/4*x+570

$$x=40 \% \times \frac{ 3 }{ 4 } \times x+570$$

Whakaoti mō x

$$x = \frac{5700}{7} = 814\frac{2}{7} \approx 814.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{40}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$x=\frac{2}{5}\times \frac{3}{4}x+570$$

Me whakarea te \frac{2}{5} ki te \frac{3}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{2\times 3}{5\times 4}x+570$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 3}{5\times 4}.

$$x=\frac{6}{20}x+570$$

Whakahekea te hautanga \frac{6}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{3}{10}x+570$$

Tangohia te \frac{3}{10}x mai i ngā taha e rua.

$$x-\frac{3}{10}x=570$$

Pahekotia te x me -\frac{3}{10}x, ka \frac{7}{10}x.

$$\frac{7}{10}x=570$$

Me whakarea ngā taha e rua ki te \frac{10}{7}, te tau utu o \frac{7}{10}.

$$x=570\times \frac{10}{7}$$

Tuhia te 570\times \frac{10}{7} hei hautanga kotahi.

$$x=\frac{570\times 10}{7}$$

Whakareatia te 570 ki te 10, ka 5700.

$$x=\frac{5700}{7}$$