Whakaoti i te 4.1x+8.3y=51.53

$$4.1x+8.3y=51.53$$

Whakaoti mō x

$$x=-\frac{83y}{41}+\frac{5153}{410}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 8.3y mai i ngā taha e rua.

$$4.1x=51.53-8.3y$$

He hanga arowhānui tō te whārite.

$$4.1x=-\frac{83y}{10}+51.53$$

Whakawehea ngā taha e rua o te whārite ki te 4.1, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{4.1x}{4.1}=\frac{-\frac{83y}{10}+51.53}{4.1}$$

Mā te whakawehe ki te 4.1 ka wetekia te whakareanga ki te 4.1.

$$x=\frac{-\frac{83y}{10}+51.53}{4.1}$$

Whakawehe 51.53-\frac{83y}{10} ki te 4.1 mā te whakarea 51.53-\frac{83y}{10} ki te tau huripoki o 4.1.

$$x=-\frac{83y}{41}+\frac{5153}{410}$$

Whakaoti mō y

$$y=-\frac{41x}{83}+\frac{5153}{830}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 4.1x mai i ngā taha e rua.

$$8.3y=51.53-4.1x$$

He hanga arowhānui tō te whārite.

$$8.3y=-\frac{41x}{10}+51.53$$

Whakawehea ngā taha e rua o te whārite ki te 8.3, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{8.3y}{8.3}=\frac{-\frac{41x}{10}+51.53}{8.3}$$

Mā te whakawehe ki te 8.3 ka wetekia te whakareanga ki te 8.3.

$$y=\frac{-\frac{41x}{10}+51.53}{8.3}$$

Whakawehe 51.53-\frac{41x}{10} ki te 8.3 mā te whakarea 51.53-\frac{41x}{10} ki te tau huripoki o 8.3.

$$y=-\frac{41x}{83}+\frac{5153}{830}$$