Whakaoti i te 20(100-x)+150(100-y)=15100

$$20(100-x)+150(100-y)=15100$$

Whakaoti mō x

$$x=-\frac{15y}{2}+95$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 20 ki te 100-x.

$$2000-20x+150\left(100-y\right)=15100$$

Whakamahia te āhuatanga tohatoha hei whakarea te 150 ki te 100-y.

$$2000-20x+15000-150y=15100$$

Tāpirihia te 2000 ki te 15000, ka 17000.

$$17000-20x-150y=15100$$

Tangohia te 17000 mai i ngā taha e rua.

$$-20x-150y=15100-17000$$

Tangohia te 17000 i te 15100, ka -1900.

$$-20x-150y=-1900$$

Me tāpiri te 150y ki ngā taha e rua.

$$-20x=-1900+150y$$

He hanga arowhānui tō te whārite.

$$-20x=150y-1900$$

Whakawehea ngā taha e rua ki te -20.

$$\frac{-20x}{-20}=\frac{150y-1900}{-20}$$

Mā te whakawehe ki te -20 ka wetekia te whakareanga ki te -20.

$$x=\frac{150y-1900}{-20}$$

Whakawehe -1900+150y ki te -20.

$$x=-\frac{15y}{2}+95$$

Whakaoti mō y

$$y=-\frac{2x}{15}+\frac{38}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 20 ki te 100-x.

$$2000-20x+150\left(100-y\right)=15100$$

Whakamahia te āhuatanga tohatoha hei whakarea te 150 ki te 100-y.

$$2000-20x+15000-150y=15100$$

Tāpirihia te 2000 ki te 15000, ka 17000.

$$17000-20x-150y=15100$$

Tangohia te 17000 mai i ngā taha e rua.

$$-20x-150y=15100-17000$$

Tangohia te 17000 i te 15100, ka -1900.

$$-20x-150y=-1900$$

Me tāpiri te 20x ki ngā taha e rua.

$$-150y=-1900+20x$$

He hanga arowhānui tō te whārite.

$$-150y=20x-1900$$

Whakawehea ngā taha e rua ki te -150.

$$\frac{-150y}{-150}=\frac{20x-1900}{-150}$$

Mā te whakawehe ki te -150 ka wetekia te whakareanga ki te -150.

$$y=\frac{20x-1900}{-150}$$

Whakawehe -1900+20x ki te -150.

$$y=-\frac{2x}{15}+\frac{38}{3}$$