Whakaoti i te 6x+4xy=7

$$6 x + 4 x y = 7$$

Whakaoti mō x

$$x=\frac{7}{2\left(2y+3\right)}$$

$$y\neq -\frac{3}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\left(6+4y\right)x=7$$

He hanga arowhānui tō te whārite.

$$\left(4y+6\right)x=7$$

Whakawehea ngā taha e rua ki te 6+4y.

$$\frac{\left(4y+6\right)x}{4y+6}=\frac{7}{4y+6}$$

Mā te whakawehe ki te 6+4y ka wetekia te whakareanga ki te 6+4y.

$$x=\frac{7}{4y+6}$$

Whakawehe 7 ki te 6+4y.

$$x=\frac{7}{2\left(2y+3\right)}$$

Whakaoti mō y

$$y=-\frac{3}{2}+\frac{7}{4x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 6x mai i ngā taha e rua.

$$4xy=7-6x$$

Whakawehea ngā taha e rua ki te 4x.

$$\frac{4xy}{4x}=\frac{7-6x}{4x}$$

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

$$y=\frac{7-6x}{4x}$$

Whakawehe 7-6x ki te 4x.

$$y=-\frac{3}{2}+\frac{7}{4x}$$