Whakaoti i te m=x-3/x-6+2

$$m = \frac { x - 3 } { x - 6 } + 2$$

Whakaoti mō x

$$x=-\frac{3\left(2m-5\right)}{3-m}$$

$$m\neq 3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 6 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x-6.

$$m\left(x-6\right)=x-3+\left(x-6\right)\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te m ki te x-6.

$$mx-6m=x-3+\left(x-6\right)\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-6 ki te 2.

$$mx-6m=x-3+2x-12$$

Pahekotia te x me 2x, ka 3x.

$$mx-6m=3x-3-12$$

Tangohia te 12 i te -3, ka -15.

$$mx-6m=3x-15$$

Tangohia te 3x mai i ngā taha e rua.

$$mx-6m-3x=-15$$

Me tāpiri te 6m ki ngā taha e rua.

$$mx-3x=-15+6m$$

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

$$\left(m-3\right)x=-15+6m$$

He hanga arowhānui tō te whārite.

$$\left(m-3\right)x=6m-15$$

Whakawehea ngā taha e rua ki te m-3.

$$\frac{\left(m-3\right)x}{m-3}=\frac{6m-15}{m-3}$$

Mā te whakawehe ki te m-3 ka wetekia te whakareanga ki te m-3.

$$x=\frac{6m-15}{m-3}$$

Whakawehe 6m-15 ki te m-3.

$$x=\frac{3\left(2m-5\right)}{m-3}$$

Tē taea kia ōrite te tāupe x ki 6.

$$x=\frac{3\left(2m-5\right)}{m-3}\text{, }x\neq 6$$

Whakaoti mō m

$$m=-\frac{3\left(5-x\right)}{x-6}$$

$$x\neq 6$$