Whakaoti i te 1/2u+1/3v=2

$$\frac { 1 } { 2 } u + \frac { 1 } { 3 } v = 2$$

Whakaoti mō u

$$u=-\frac{2v}{3}+4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{1}{3}v mai i ngā taha e rua.

$$\frac{1}{2}u=2-\frac{1}{3}v$$

He hanga arowhānui tō te whārite.

$$\frac{1}{2}u=-\frac{v}{3}+2$$

Me whakarea ngā taha e rua ki te 2.

$$\frac{\frac{1}{2}u}{\frac{1}{2}}=\frac{-\frac{v}{3}+2}{\frac{1}{2}}$$

Mā te whakawehe ki te \frac{1}{2} ka wetekia te whakareanga ki te \frac{1}{2}.

$$u=\frac{-\frac{v}{3}+2}{\frac{1}{2}}$$

Whakawehe 2-\frac{v}{3} ki te \frac{1}{2} mā te whakarea 2-\frac{v}{3} ki te tau huripoki o \frac{1}{2}.

$$u=-\frac{2v}{3}+4$$

Whakaoti mō v

$$v=-\frac{3u}{2}+6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{1}{2}u mai i ngā taha e rua.

$$\frac{1}{3}v=2-\frac{1}{2}u$$

He hanga arowhānui tō te whārite.

$$\frac{1}{3}v=-\frac{u}{2}+2$$

Me whakarea ngā taha e rua ki te 3.

$$\frac{\frac{1}{3}v}{\frac{1}{3}}=\frac{-\frac{u}{2}+2}{\frac{1}{3}}$$

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

$$v=\frac{-\frac{u}{2}+2}{\frac{1}{3}}$$

Whakawehe 2-\frac{u}{2} ki te \frac{1}{3} mā te whakarea 2-\frac{u}{2} ki te tau huripoki o \frac{1}{3}.

$$v=-\frac{3u}{2}+6$$