Whakaoti i te 2x-b/x-1=3

$$\frac { 2 x - b } { x - 1 } = 3$$

Whakaoti mō b

$$b=3-x$$

$$x\neq 1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te x-1.

$$2x-b=3\left(x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-1.

$$2x-b=3x-3$$

Tangohia te 2x mai i ngā taha e rua.

$$-b=3x-3-2x$$

Pahekotia te 3x me -2x, ka x.

$$-b=x-3$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-b}{-1}=\frac{x-3}{-1}$$

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

$$b=\frac{x-3}{-1}$$

Whakawehe x-3 ki te -1.

$$b=3-x$$

Whakaoti mō x

$$x=3-b$$

$$b\neq 2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2x-b=3\left(x-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-1.

$$2x-b=3x-3$$

Tangohia te 3x mai i ngā taha e rua.

$$2x-b-3x=-3$$

Pahekotia te 2x me -3x, ka -x.

$$-x-b=-3$$

Me tāpiri te b ki ngā taha e rua.

$$-x=-3+b$$

He hanga arowhānui tō te whārite.

$$-x=b-3$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-x}{-1}=\frac{b-3}{-1}$$

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

$$x=\frac{b-3}{-1}$$

Whakawehe -3+b ki te -1.

$$x=3-b$$

Tē taea kia ōrite te tāupe x ki 1.

$$x=3-b\text{, }x\neq 1$$