Whakaoti i te 1/3m=2/3n+8

$$\frac { 1 } { 3 } m = \frac { 2 } { 3 } n + 8$$

Whakaoti mō m

$$m=2\left(n+12\right)$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$\frac{1}{3}m=\frac{2n}{3}+8$$

Me whakarea ngā taha e rua ki te 3.

$$\frac{\frac{1}{3}m}{\frac{1}{3}}=\frac{\frac{2n}{3}+8}{\frac{1}{3}}$$

Mā te whakawehe ki te \frac{1}{3} ka wetekia te whakareanga ki te \frac{1}{3}.

$$m=\frac{\frac{2n}{3}+8}{\frac{1}{3}}$$

Whakawehe \frac{2n}{3}+8 ki te \frac{1}{3} mā te whakarea \frac{2n}{3}+8 ki te tau huripoki o \frac{1}{3}.

$$m=2n+24$$

Whakaoti mō n

$$n=\frac{m-24}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\frac{2}{3}n+8=\frac{1}{3}m$$

Tangohia te 8 mai i ngā taha e rua.

$$\frac{2}{3}n=\frac{1}{3}m-8$$

He hanga arowhānui tō te whārite.

$$\frac{2}{3}n=\frac{m}{3}-8$$

Whakawehea ngā taha e rua o te whārite ki te \frac{2}{3}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{2}{3}n}{\frac{2}{3}}=\frac{\frac{m}{3}-8}{\frac{2}{3}}$$

Mā te whakawehe ki te \frac{2}{3} ka wetekia te whakareanga ki te \frac{2}{3}.

$$n=\frac{\frac{m}{3}-8}{\frac{2}{3}}$$

Whakawehe \frac{m}{3}-8 ki te \frac{2}{3} mā te whakarea \frac{m}{3}-8 ki te tau huripoki o \frac{2}{3}.

$$n=\frac{m}{2}-12$$