Whakaoti i te x+10/100+x=0.2

$$\frac { x + 10 } { 100 + x } = 0.2$$

Whakaoti mō x

$$x=12.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -100 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+100.

$$x+10=0.2\left(x+100\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.2 ki te x+100.

$$x+10=0.2x+20$$

Tangohia te 0.2x mai i ngā taha e rua.

$$x+10-0.2x=20$$

Pahekotia te x me -0.2x, ka 0.8x.

$$0.8x+10=20$$

Tangohia te 10 mai i ngā taha e rua.

$$0.8x=20-10$$

Tangohia te 10 i te 20, ka 10.

$$0.8x=10$$

Whakawehea ngā taha e rua ki te 0.8.

$$x=\frac{10}{0.8}$$

Whakarohaina te \frac{10}{0.8} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{100}{8}$$

Whakahekea te hautanga \frac{100}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{25}{2}$$