Whakaoti i te 14x-15/2x+1=8

$$\frac { 14 x - 15 } { 2 x + 1 } = 8$$

Whakaoti mō x

$$x = -\frac{23}{2} = -11\frac{1}{2} = -11.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -\frac{1}{2} nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 2x+1.

$$14x-15=8\left(2x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 2x+1.

$$14x-15=16x+8$$

Tangohia te 16x mai i ngā taha e rua.

$$14x-15-16x=8$$

Pahekotia te 14x me -16x, ka -2x.

$$-2x-15=8$$

Me tāpiri te 15 ki ngā taha e rua.

$$-2x=8+15$$

Tāpirihia te 8 ki te 15, ka 23.

$$-2x=23$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{23}{-2}$$

Ka taea te hautanga \frac{23}{-2} te tuhi anō ko -\frac{23}{2} mā te tango i te tohu tōraro.

$$x=-\frac{23}{2}$$