Whakaoti i te 6(x-y)=xy

$$6 ( x - y ) = x y$$

Whakaoti mō x

$$x=\frac{6y}{6-y}$$

$$y\neq 6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$6x-6y=xy$$

Tangohia te xy mai i ngā taha e rua.

$$6x-6y-xy=0$$

Me tāpiri te 6y ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$6x-xy=6y$$

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

$$\left(6-y\right)x=6y$$

Whakawehea ngā taha e rua ki te -y+6.

$$\frac{\left(6-y\right)x}{6-y}=\frac{6y}{6-y}$$

Mā te whakawehe ki te -y+6 ka wetekia te whakareanga ki te -y+6.

$$x=\frac{6y}{6-y}$$

Whakaoti mō y

$$y=\frac{6x}{x+6}$$

$$x\neq -6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$6x-6y=xy$$

Tangohia te xy mai i ngā taha e rua.

$$6x-6y-xy=0$$

Tangohia te 6x mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-6y-xy=-6x$$

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

$$\left(-6-x\right)y=-6x$$

He hanga arowhānui tō te whārite.

$$\left(-x-6\right)y=-6x$$

Whakawehea ngā taha e rua ki te -6-x.

$$\frac{\left(-x-6\right)y}{-x-6}=-\frac{6x}{-x-6}$$

Mā te whakawehe ki te -6-x ka wetekia te whakareanga ki te -6-x.

$$y=-\frac{6x}{-x-6}$$

Whakawehe -6x ki te -6-x.

$$y=\frac{6x}{x+6}$$