Whakaoti i te 0.1x+0.15y=100

$$0.1 x + 0.15 y = 100$$

Whakaoti mō x

$$x=-\frac{3y}{2}+1000$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 0.15y mai i ngā taha e rua.

$$0.1x=100-0.15y$$

He hanga arowhānui tō te whārite.

$$0.1x=-\frac{3y}{20}+100$$

Me whakarea ngā taha e rua ki te 10.

$$\frac{0.1x}{0.1}=\frac{-\frac{3y}{20}+100}{0.1}$$

Mā te whakawehe ki te 0.1 ka wetekia te whakareanga ki te 0.1.

$$x=\frac{-\frac{3y}{20}+100}{0.1}$$

Whakawehe 100-\frac{3y}{20} ki te 0.1 mā te whakarea 100-\frac{3y}{20} ki te tau huripoki o 0.1.

$$x=-\frac{3y}{2}+1000$$

Whakaoti mō y

$$y=\frac{2000-2x}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 0.1x mai i ngā taha e rua.

$$0.15y=100-0.1x$$

He hanga arowhānui tō te whārite.

$$0.15y=-\frac{x}{10}+100$$

Whakawehea ngā taha e rua o te whārite ki te 0.15, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{0.15y}{0.15}=\frac{-\frac{x}{10}+100}{0.15}$$

Mā te whakawehe ki te 0.15 ka wetekia te whakareanga ki te 0.15.

$$y=\frac{-\frac{x}{10}+100}{0.15}$$

Whakawehe 100-\frac{x}{10} ki te 0.15 mā te whakarea 100-\frac{x}{10} ki te tau huripoki o 0.15.

$$y=\frac{2000-2x}{3}$$