Whakaoti i te x+1/x+2=5

$$\frac { x + 1 } { x + 2 } = 5$$

Whakaoti mō x

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$x+1=5\left(x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x+2.

$$x+1=5x+10$$

Tangohia te 5x mai i ngā taha e rua.

$$x+1-5x=10$$

Pahekotia te x me -5x, ka -4x.

$$-4x+1=10$$

Tangohia te 1 mai i ngā taha e rua.

$$-4x=10-1$$

Tangohia te 1 i te 10, ka 9.

$$-4x=9$$

Whakawehea ngā taha e rua ki te -4.

$$x=\frac{9}{-4}$$

Ka taea te hautanga \frac{9}{-4} te tuhi anō ko -\frac{9}{4} mā te tango i te tohu tōraro.

$$x=-\frac{9}{4}$$