Whakaoti i te (4x+2)*(2y-1)=12

$$( 4 x + 2 ) \times ( 2 y - 1 ) = 12$$

Whakaoti mō x

$$x=-\frac{2y-7}{2\left(2y-1\right)}$$

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4x+2 ki te 2y-1.

$$8xy-4x+4y-2=12$$

Tangohia te 4y mai i ngā taha e rua.

$$8xy-4x-2=12-4y$$

Me tāpiri te 2 ki ngā taha e rua.

$$8xy-4x=12-4y+2$$

Tāpirihia te 12 ki te 2, ka 14.

$$8xy-4x=14-4y$$

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

$$\left(8y-4\right)x=14-4y$$

Whakawehea ngā taha e rua ki te 8y-4.

$$\frac{\left(8y-4\right)x}{8y-4}=\frac{14-4y}{8y-4}$$

Mā te whakawehe ki te 8y-4 ka wetekia te whakareanga ki te 8y-4.

$$x=\frac{14-4y}{8y-4}$$

Whakawehe 14-4y ki te 8y-4.

$$x=\frac{7-2y}{2\left(2y-1\right)}$$

Whakaoti mō y

$$y=\frac{2x+7}{2\left(2x+1\right)}$$

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4x+2 ki te 2y-1.

$$8xy-4x+4y-2=12$$

Me tāpiri te 4x ki ngā taha e rua.

$$8xy+4y-2=12+4x$$

Me tāpiri te 2 ki ngā taha e rua.

$$8xy+4y=12+4x+2$$

Tāpirihia te 12 ki te 2, ka 14.

$$8xy+4y=14+4x$$

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

$$\left(8x+4\right)y=14+4x$$

He hanga arowhānui tō te whārite.

$$\left(8x+4\right)y=4x+14$$

Whakawehea ngā taha e rua ki te 8x+4.

$$\frac{\left(8x+4\right)y}{8x+4}=\frac{4x+14}{8x+4}$$

Mā te whakawehe ki te 8x+4 ka wetekia te whakareanga ki te 8x+4.

$$y=\frac{4x+14}{8x+4}$$

Whakawehe 14+4x ki te 8x+4.

$$y=\frac{2x+7}{2\left(2x+1\right)}$$