Whakaoti i te 4x-yx-5y=2yx+16

$$4x-yx-5y=2yx+16$$

Whakaoti mō x

$$x=\frac{5y+16}{4-3y}$$

$$y\neq \frac{4}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2yx mai i ngā taha e rua.

$$4x-yx-5y-2yx=16$$

Pahekotia te -yx me -2yx, ka -3yx.

$$4x-3yx-5y=16$$

Me tāpiri te 5y ki ngā taha e rua.

$$4x-3yx=16+5y$$

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

$$\left(4-3y\right)x=16+5y$$

He hanga arowhānui tō te whārite.

$$\left(4-3y\right)x=5y+16$$

Whakawehea ngā taha e rua ki te -3y+4.

$$\frac{\left(4-3y\right)x}{4-3y}=\frac{5y+16}{4-3y}$$

Mā te whakawehe ki te -3y+4 ka wetekia te whakareanga ki te -3y+4.

$$x=\frac{5y+16}{4-3y}$$

Whakaoti mō y

$$y=\frac{4\left(x-4\right)}{3x+5}$$

$$x\neq -\frac{5}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2yx mai i ngā taha e rua.

$$4x-yx-5y-2yx=16$$

Pahekotia te -yx me -2yx, ka -3yx.

$$4x-3yx-5y=16$$

Tangohia te 4x mai i ngā taha e rua.

$$-3yx-5y=16-4x$$

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

$$\left(-3x-5\right)y=16-4x$$

Whakawehea ngā taha e rua ki te -3x-5.

$$\frac{\left(-3x-5\right)y}{-3x-5}=\frac{16-4x}{-3x-5}$$

Mā te whakawehe ki te -3x-5 ka wetekia te whakareanga ki te -3x-5.

$$y=\frac{16-4x}{-3x-5}$$

Whakawehe 16-4x ki te -3x-5.

$$y=-\frac{4\left(4-x\right)}{3x+5}$$