Whakaoti i te 0.05left(2000+2xright)=0.04left(2300-6xright)

$$0.05 \left( 2000+2x \right) = 0.04 \left( 2300-6x \right)$$

Whakaoti mō x

$$x = -\frac{400}{17} = -23\frac{9}{17} \approx -23.529411765$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 0.05 ki te 2000+2x.

$$100+0.1x=0.04\left(2300-6x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.04 ki te 2300-6x.

$$100+0.1x=92-0.24x$$

Me tāpiri te 0.24x ki ngā taha e rua.

$$100+0.1x+0.24x=92$$

Pahekotia te 0.1x me 0.24x, ka 0.34x.

$$100+0.34x=92$$

Tangohia te 100 mai i ngā taha e rua.

$$0.34x=92-100$$

Tangohia te 100 i te 92, ka -8.

$$0.34x=-8$$

Whakawehea ngā taha e rua ki te 0.34.

$$x=\frac{-8}{0.34}$$

Whakarohaina te \frac{-8}{0.34} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x=\frac{-800}{34}$$

Whakahekea te hautanga \frac{-800}{34} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{400}{17}$$