Whakaoti i te 3+x/9+x=50/100

$$\frac{ 3+x }{ 9+x } = \frac{ 50 }{ 100 }$$

Whakaoti mō x

$$x=3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -9 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 100\left(x+9\right), arā, te tauraro pātahi he tino iti rawa te kitea o 9+x,100.

$$100\left(3+x\right)=\left(x+9\right)\times 50$$

Whakamahia te āhuatanga tohatoha hei whakarea te 100 ki te 3+x.

$$300+100x=\left(x+9\right)\times 50$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+9 ki te 50.

$$300+100x=50x+450$$

Tangohia te 50x mai i ngā taha e rua.

$$300+100x-50x=450$$

Pahekotia te 100x me -50x, ka 50x.

$$300+50x=450$$

Tangohia te 300 mai i ngā taha e rua.

$$50x=450-300$$

Tangohia te 300 i te 450, ka 150.

$$50x=150$$

Whakawehea ngā taha e rua ki te 50.

$$x=\frac{150}{50}$$

Whakawehea te 150 ki te 50, kia riro ko 3.

$$x=3$$