Whakaoti i te 5/3x-3=7yquad7y-8/3+5

$$\frac { 5 } { 3 } x - 3 = 7 y \quad 7 y - \frac { 8 } { 3 } + 5$$

Whakaoti mō y (complex solution)

$$\left\{\begin{matrix}y=-\frac{16-5x}{21y_{7}}\text{, }&y_{7}\neq 0\\y\in \mathrm{C}\text{, }&x=\frac{16}{5}\text{ and }y_{7}=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tāpirihia te -\frac{8}{3} ki te 5, ka \frac{7}{3}.

$$\frac{5}{3}x-3=7y_{7}y+\frac{7}{3}$$

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

$$7y_{7}y+\frac{7}{3}=\frac{5}{3}x-3$$

Tangohia te \frac{7}{3} mai i ngā taha e rua.

$$7y_{7}y=\frac{5}{3}x-3-\frac{7}{3}$$

Tangohia te \frac{7}{3} i te -3, ka -\frac{16}{3}.

$$7y_{7}y=\frac{5}{3}x-\frac{16}{3}$$

He hanga arowhānui tō te whārite.

$$7y_{7}y=\frac{5x-16}{3}$$

Whakawehea ngā taha e rua ki te 7y_{7}.

$$\frac{7y_{7}y}{7y_{7}}=\frac{5x-16}{3\times 7y_{7}}$$

Mā te whakawehe ki te 7y_{7} ka wetekia te whakareanga ki te 7y_{7}.

$$y=\frac{5x-16}{3\times 7y_{7}}$$

Whakawehe \frac{-16+5x}{3} ki te 7y_{7}.

$$y=\frac{5x-16}{21y_{7}}$$

Whakaoti mō x

$$x=\frac{21yy_{7}+16}{5}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tāpirihia te -\frac{8}{3} ki te 5, ka \frac{7}{3}.

$$\frac{5}{3}x-3=7y_{7}y+\frac{7}{3}$$

Me tāpiri te 3 ki ngā taha e rua.

$$\frac{5}{3}x=7y_{7}y+\frac{7}{3}+3$$

Tāpirihia te \frac{7}{3} ki te 3, ka \frac{16}{3}.

$$\frac{5}{3}x=7y_{7}y+\frac{16}{3}$$

He hanga arowhānui tō te whārite.

$$\frac{5}{3}x=7yy_{7}+\frac{16}{3}$$

Whakawehea ngā taha e rua o te whārite ki te \frac{5}{3}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{5}{3}x}{\frac{5}{3}}=\frac{7yy_{7}+\frac{16}{3}}{\frac{5}{3}}$$

Mā te whakawehe ki te \frac{5}{3} ka wetekia te whakareanga ki te \frac{5}{3}.

$$x=\frac{7yy_{7}+\frac{16}{3}}{\frac{5}{3}}$$

Whakawehe 7y_{7}y+\frac{16}{3} ki te \frac{5}{3} mā te whakarea 7y_{7}y+\frac{16}{3} ki te tau huripoki o \frac{5}{3}.

$$x=\frac{21yy_{7}+16}{5}$$

Whakaoti mō y

$$\left\{\begin{matrix}y=-\frac{16-5x}{21y_{7}}\text{, }&y_{7}\neq 0\\y\in \mathrm{R}\text{, }&x=\frac{16}{5}\text{ and }y_{7}=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tāpirihia te -\frac{8}{3} ki te 5, ka \frac{7}{3}.

$$\frac{5}{3}x-3=7y_{7}y+\frac{7}{3}$$

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

$$7y_{7}y+\frac{7}{3}=\frac{5}{3}x-3$$

Tangohia te \frac{7}{3} mai i ngā taha e rua.

$$7y_{7}y=\frac{5}{3}x-3-\frac{7}{3}$$

Tangohia te \frac{7}{3} i te -3, ka -\frac{16}{3}.

$$7y_{7}y=\frac{5}{3}x-\frac{16}{3}$$

He hanga arowhānui tō te whārite.

$$7y_{7}y=\frac{5x-16}{3}$$

Whakawehea ngā taha e rua ki te 7y_{7}.

$$\frac{7y_{7}y}{7y_{7}}=\frac{5x-16}{3\times 7y_{7}}$$

Mā te whakawehe ki te 7y_{7} ka wetekia te whakareanga ki te 7y_{7}.

$$y=\frac{5x-16}{3\times 7y_{7}}$$

Whakawehe \frac{5x-16}{3} ki te 7y_{7}.

$$y=\frac{5x-16}{21y_{7}}$$