Whakaoti i te 2x-1/y+3=2

$$\frac{ 2x-1 }{ y+3 } =2$$

Whakaoti mō x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

$$y\neq -3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te y+3.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y+3.

$$2x-1=2y+6$$

Me tāpiri te 1 ki ngā taha e rua.

$$2x=2y+6+1$$

Tāpirihia te 6 ki te 1, ka 7.

$$2x=2y+7$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2x}{2}=\frac{2y+7}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$x=\frac{2y+7}{2}$$

Whakawehe 2y+7 ki te 2.

$$x=y+\frac{7}{2}$$

Whakaoti mō y

$$y = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki -3 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te y+3.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y+3.

$$2x-1=2y+6$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$2y+6=2x-1$$

Tangohia te 6 mai i ngā taha e rua.

$$2y=2x-1-6$$

Tangohia te 6 i te -1, ka -7.

$$2y=2x-7$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2y}{2}=\frac{2x-7}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$y=\frac{2x-7}{2}$$

Whakawehe 2x-7 ki te 2.

$$y=x-\frac{7}{2}$$

Tē taea kia ōrite te tāupe y ki -3.

$$y=x-\frac{7}{2}\text{, }y\neq -3$$