Whakaoti i te 0.2/20+2*x=0.376/2*(108+x)

$$\frac{ 0.2 }{ 20+2 \times x } = \frac{ 0.376 }{ 2 \times (108+x) }$$

Whakaoti mō x

$$x = \frac{1115}{11} = 101\frac{4}{11} \approx 101.363636364$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -108,-10 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 2\left(x+10\right)\left(x+108\right), arā, te tauraro pātahi he tino iti rawa te kitea o 20+2x,2\left(108+x\right).

$$\left(x+108\right)\times 0.2=\left(x+10\right)\times 0.376$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+108 ki te 0.2.

$$0.2x+21.6=\left(x+10\right)\times 0.376$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+10 ki te 0.376.

$$0.2x+21.6=0.376x+3.76$$

Tangohia te 0.376x mai i ngā taha e rua.

$$0.2x+21.6-0.376x=3.76$$

Pahekotia te 0.2x me -0.376x, ka -0.176x.

$$-0.176x+21.6=3.76$$

Tangohia te 21.6 mai i ngā taha e rua.

$$-0.176x=3.76-21.6$$

Tangohia te 21.6 i te 3.76, ka -17.84.

$$-0.176x=-17.84$$

Whakawehea ngā taha e rua ki te -0.176.

$$x=\frac{-17.84}{-0.176}$$

Whakarohaina te \frac{-17.84}{-0.176} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$x=\frac{-17840}{-176}$$

Whakahekea te hautanga \frac{-17840}{-176} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -16.

$$x=\frac{1115}{11}$$