Whakaoti i te 4x+3y=5yP(22)

$$4x+3y = 5yP(22)$$

Whakaoti mō P (complex solution)

$$\left\{\begin{matrix}P=\frac{2x}{55y}+\frac{3}{110}\text{, }&y\neq 0\\P\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 5 ki te 22, ka 110.

$$4x+3y=110yP$$

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

$$110yP=4x+3y$$

Whakawehea ngā taha e rua ki te 110y.

$$\frac{110yP}{110y}=\frac{4x+3y}{110y}$$

Mā te whakawehe ki te 110y ka wetekia te whakareanga ki te 110y.

$$P=\frac{4x+3y}{110y}$$

Whakawehe 4x+3y ki te 110y.

$$P=\frac{2x}{55y}+\frac{3}{110}$$

Whakaoti mō P

$$\left\{\begin{matrix}P=\frac{2x}{55y}+\frac{3}{110}\text{, }&y\neq 0\\P\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 5 ki te 22, ka 110.

$$4x+3y=110yP$$

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

$$110yP=4x+3y$$

Whakawehea ngā taha e rua ki te 110y.

$$\frac{110yP}{110y}=\frac{4x+3y}{110y}$$

Mā te whakawehe ki te 110y ka wetekia te whakareanga ki te 110y.

$$P=\frac{4x+3y}{110y}$$

Whakawehe 4x+3y ki te 110y.

$$P=\frac{2x}{55y}+\frac{3}{110}$$

Whakaoti mō x

$$x=\frac{y\left(110P-3\right)}{4}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 5 ki te 22, ka 110.

$$4x+3y=110yP$$

Tangohia te 3y mai i ngā taha e rua.

$$4x=110yP-3y$$

He hanga arowhānui tō te whārite.

$$4x=110Py-3y$$

Whakawehea ngā taha e rua ki te 4.

$$\frac{4x}{4}=\frac{y\left(110P-3\right)}{4}$$

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

$$x=\frac{y\left(110P-3\right)}{4}$$

Whakawehe y\left(-3+110P\right) ki te 4.

$$x=\frac{55Py}{2}-\frac{3y}{4}$$