Whakaoti i te 6+13left(x-1right)=5+10(y-1)

$$6+13 \left( x-1 \right) = 5+10(y-1)$$

Whakaoti mō x

$$x=\frac{10y+2}{13}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 13 ki te x-1.

$$6+13x-13=5+10\left(y-1\right)$$

Tangohia te 13 i te 6, ka -7.

$$-7+13x=5+10\left(y-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te y-1.

$$-7+13x=5+10y-10$$

Tangohia te 10 i te 5, ka -5.

$$-7+13x=-5+10y$$

Me tāpiri te 7 ki ngā taha e rua.

$$13x=-5+10y+7$$

Tāpirihia te -5 ki te 7, ka 2.

$$13x=2+10y$$

He hanga arowhānui tō te whārite.

$$13x=10y+2$$

Whakawehea ngā taha e rua ki te 13.

$$\frac{13x}{13}=\frac{10y+2}{13}$$

Mā te whakawehe ki te 13 ka wetekia te whakareanga ki te 13.

$$x=\frac{10y+2}{13}$$

Whakaoti mō y

$$y=\frac{13x}{10}-\frac{1}{5}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 13 ki te x-1.

$$6+13x-13=5+10\left(y-1\right)$$

Tangohia te 13 i te 6, ka -7.

$$-7+13x=5+10\left(y-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te y-1.

$$-7+13x=5+10y-10$$

Tangohia te 10 i te 5, ka -5.

$$-7+13x=-5+10y$$

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

$$-5+10y=-7+13x$$

Me tāpiri te 5 ki ngā taha e rua.

$$10y=-7+13x+5$$

Tāpirihia te -7 ki te 5, ka -2.

$$10y=-2+13x$$

He hanga arowhānui tō te whārite.

$$10y=13x-2$$

Whakawehea ngā taha e rua ki te 10.

$$\frac{10y}{10}=\frac{13x-2}{10}$$

Mā te whakawehe ki te 10 ka wetekia te whakareanga ki te 10.

$$y=\frac{13x-2}{10}$$

Whakawehe -2+13x ki te 10.

$$y=\frac{13x}{10}-\frac{1}{5}$$