Whakaoti i te 80(y)+120(x)+500(2/3(y))-35000=0

$$80(y)+120(x)+500( \frac{ 2 }{ 3 } (y))-35000=0$$

Whakaoti mō x

$$x=-\frac{31y}{9}+\frac{875}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 500 ki te \frac{2}{3}, ka \frac{1000}{3}.

$$80y+120x+\frac{1000}{3}y-35000=0$$

Pahekotia te 80y me \frac{1000}{3}y, ka \frac{1240}{3}y.

$$\frac{1240}{3}y+120x-35000=0$$

Tangohia te \frac{1240}{3}y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$120x-35000=-\frac{1240}{3}y$$

Me tāpiri te 35000 ki ngā taha e rua.

$$120x=-\frac{1240}{3}y+35000$$

He hanga arowhānui tō te whārite.

$$120x=-\frac{1240y}{3}+35000$$

Whakawehea ngā taha e rua ki te 120.

$$\frac{120x}{120}=\frac{-\frac{1240y}{3}+35000}{120}$$

Mā te whakawehe ki te 120 ka wetekia te whakareanga ki te 120.

$$x=\frac{-\frac{1240y}{3}+35000}{120}$$

Whakawehe -\frac{1240y}{3}+35000 ki te 120.

$$x=-\frac{31y}{9}+\frac{875}{3}$$

Whakaoti mō y

$$y=\frac{2625-9x}{31}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 500 ki te \frac{2}{3}, ka \frac{1000}{3}.

$$80y+120x+\frac{1000}{3}y-35000=0$$

Pahekotia te 80y me \frac{1000}{3}y, ka \frac{1240}{3}y.

$$\frac{1240}{3}y+120x-35000=0$$

Tangohia te 120x mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$\frac{1240}{3}y-35000=-120x$$

Me tāpiri te 35000 ki ngā taha e rua.

$$\frac{1240}{3}y=-120x+35000$$

He hanga arowhānui tō te whārite.

$$\frac{1240}{3}y=35000-120x$$

Whakawehea ngā taha e rua o te whārite ki te \frac{1240}{3}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{1240}{3}y}{\frac{1240}{3}}=\frac{35000-120x}{\frac{1240}{3}}$$

Mā te whakawehe ki te \frac{1240}{3} ka wetekia te whakareanga ki te \frac{1240}{3}.

$$y=\frac{35000-120x}{\frac{1240}{3}}$$

Whakawehe -120x+35000 ki te \frac{1240}{3} mā te whakarea -120x+35000 ki te tau huripoki o \frac{1240}{3}.

$$y=\frac{2625-9x}{31}$$