Whakaoti i te x+2/x+3=51

$$\frac { x + 2 } { x + 3 } = 51$$

Whakaoti mō x

$$x = -\frac{151}{50} = -3\frac{1}{50} = -3.02$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -3 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+3.

$$x+2=51\left(x+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 51 ki te x+3.

$$x+2=51x+153$$

Tangohia te 51x mai i ngā taha e rua.

$$x+2-51x=153$$

Pahekotia te x me -51x, ka -50x.

$$-50x+2=153$$

Tangohia te 2 mai i ngā taha e rua.

$$-50x=153-2$$

Tangohia te 2 i te 153, ka 151.

$$-50x=151$$

Whakawehea ngā taha e rua ki te -50.

$$x=\frac{151}{-50}$$

Ka taea te hautanga \frac{151}{-50} te tuhi anō ko -\frac{151}{50} mā te tango i te tohu tōraro.

$$x=-\frac{151}{50}$$