Whakaoti i te 6/7.5=2x/2x+32

$$\frac{ 6 }{ 7.5 } = \frac{ 2x }{ 2x+32 }$$

Whakaoti mō x

$$x=64$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -16 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2\left(x+16\right).

$$2\left(x+16\right)\times \frac{6}{7.5}=2x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+16.

$$\left(2x+32\right)\times \frac{6}{7.5}=2x$$

Whakarohaina te \frac{6}{7.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\left(2x+32\right)\times \frac{60}{75}=2x$$

Whakahekea te hautanga \frac{60}{75} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\left(2x+32\right)\times \frac{4}{5}=2x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x+32 ki te \frac{4}{5}.

$$\frac{8}{5}x+\frac{128}{5}=2x$$

Tangohia te 2x mai i ngā taha e rua.

$$\frac{8}{5}x+\frac{128}{5}-2x=0$$

Pahekotia te \frac{8}{5}x me -2x, ka -\frac{2}{5}x.

$$-\frac{2}{5}x+\frac{128}{5}=0$$

Tangohia te \frac{128}{5} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-\frac{2}{5}x=-\frac{128}{5}$$

Me whakarea ngā taha e rua ki te -\frac{5}{2}, te tau utu o -\frac{2}{5}.

$$x=-\frac{128}{5}\left(-\frac{5}{2}\right)$$

Whakareatia te -\frac{128}{5} ki te -\frac{5}{2}, ka 64.

$$x=64$$