Whakaoti i te 20+2y/20=30+2x/30

$$\frac { 20 + 2 y } { 20 } = \frac { 30 + 2 x } { 30 }$$

Whakaoti mō x

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 60, arā, te tauraro pātahi he tino iti rawa te kitea o 20,30.

$$3\left(20+2y\right)=2\left(30+2x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 20+2y.

$$60+6y=2\left(30+2x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 30+2x.

$$60+6y=60+4x$$

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

$$60+4x=60+6y$$

Tangohia te 60 mai i ngā taha e rua.

$$4x=60+6y-60$$

Tangohia te 60 i te 60, ka 0.

$$4x=6y$$

Whakawehea ngā taha e rua ki te 4.

$$\frac{4x}{4}=\frac{6y}{4}$$

Mā te whakawehe ki te 4 ka wetekia te whakareanga ki te 4.

$$x=\frac{6y}{4}$$

Whakawehe 6y ki te 4.

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

Whakaoti mō y

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 60, arā, te tauraro pātahi he tino iti rawa te kitea o 20,30.

$$3\left(20+2y\right)=2\left(30+2x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 20+2y.

$$60+6y=2\left(30+2x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 30+2x.

$$60+6y=60+4x$$

Tangohia te 60 mai i ngā taha e rua.

$$6y=60+4x-60$$

Tangohia te 60 i te 60, ka 0.

$$6y=4x$$

Whakawehea ngā taha e rua ki te 6.

$$\frac{6y}{6}=\frac{4x}{6}$$

Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.

$$y=\frac{4x}{6}$$

Whakawehe 4x ki te 6.

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