Whakaoti i te 2/3x=5/4y

$$\frac { 2 } { 3 } x = \frac { 5 } { 4 } y$$

Whakaoti mō x

$$x=\frac{15y}{8}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$\frac{2}{3}x=\frac{5y}{4}$$

Whakawehea ngā taha e rua o te whārite ki te \frac{2}{3}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{5y}{\frac{2}{3}\times 4}$$

Mā te whakawehe ki te \frac{2}{3} ka wetekia te whakareanga ki te \frac{2}{3}.

$$x=\frac{5y}{\frac{2}{3}\times 4}$$

Whakawehe \frac{5y}{4} ki te \frac{2}{3} mā te whakarea \frac{5y}{4} ki te tau huripoki o \frac{2}{3}.

$$x=\frac{15y}{8}$$

Whakaoti mō y

$$y=\frac{8x}{15}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{5}{4}y=\frac{2}{3}x$$

He hanga arowhānui tō te whārite.

$$\frac{5}{4}y=\frac{2x}{3}$$

Whakawehea ngā taha e rua o te whārite ki te \frac{5}{4}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{5}{4}y}{\frac{5}{4}}=\frac{2x}{\frac{5}{4}\times 3}$$

Mā te whakawehe ki te \frac{5}{4} ka wetekia te whakareanga ki te \frac{5}{4}.

$$y=\frac{2x}{\frac{5}{4}\times 3}$$

Whakawehe \frac{2x}{3} ki te \frac{5}{4} mā te whakarea \frac{2x}{3} ki te tau huripoki o \frac{5}{4}.

$$y=\frac{8x}{15}$$