Whakaoti i te y=x-5/2x-4

$$y = \frac { x - 5 } { 2 x - 4 }$$

Whakaoti mō x

$$x=-\frac{5-4y}{2y-1}$$

$$y\neq \frac{1}{2}$$

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 2\left(x-2\right).

$$y\times 2\left(x-2\right)=x-5$$

Whakamahia te āhuatanga tohatoha hei whakarea te y\times 2 ki te x-2.

$$2yx-2y\times 2=x-5$$

Whakareatia te -2 ki te 2, ka -4.

$$2yx-4y=x-5$$

Tangohia te x mai i ngā taha e rua.

$$2yx-4y-x=-5$$

Me tāpiri te 4y ki ngā taha e rua.

$$2yx-x=-5+4y$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(2y-1\right)x=-5+4y$$

He hanga arowhānui tō te whārite.

$$\left(2y-1\right)x=4y-5$$

Whakawehea ngā taha e rua ki te 2y-1.

$$\frac{\left(2y-1\right)x}{2y-1}=\frac{4y-5}{2y-1}$$

Mā te whakawehe ki te 2y-1 ka wetekia te whakareanga ki te 2y-1.

$$x=\frac{4y-5}{2y-1}$$

Tē taea kia ōrite te tāupe x ki 2.

$$x=\frac{4y-5}{2y-1}\text{, }x\neq 2$$

Whakaoti mō y

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

$$x\neq 2$$