Whakaoti i te (x+7):(y+10)=2:3.quad4x-3(y-1)=0

$$( x + 7 ) : ( y + 10 ) = 2 : 3 . \quad 4 x - 3 ( y - 1 ) = 0$$

Whakaoti mō x

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

$$y\neq -10$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 3\left(y+10\right), arā, te tauraro pātahi he tino iti rawa te kitea o y+10,3.

$$3\left(x+7\right)=2\left(y+10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+7.

$$3x+21=2\left(y+10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y+10.

$$3x+21=2y+20$$

Tangohia te 21 mai i ngā taha e rua.

$$3x=2y+20-21$$

Tangohia te 21 i te 20, ka -1.

$$3x=2y-1$$

Whakawehea ngā taha e rua ki te 3.

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

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

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

Whakaoti mō y

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

$$x\neq -7$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe y ki -10 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 3\left(y+10\right), arā, te tauraro pātahi he tino iti rawa te kitea o y+10,3.

$$3\left(x+7\right)=2\left(y+10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+7.

$$3x+21=2\left(y+10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y+10.

$$3x+21=2y+20$$

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

$$2y+20=3x+21$$

Tangohia te 20 mai i ngā taha e rua.

$$2y=3x+21-20$$

Tangohia te 20 i te 21, ka 1.

$$2y=3x+1$$

Whakawehea ngā taha e rua ki te 2.

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

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

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

Tē taea kia ōrite te tāupe y ki -10.

$$y=\frac{3x+1}{2}\text{, }y\neq -10$$