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

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

Whakaoti mō x

$$x = -\frac{1}{13} = -0.07692307692307693$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

Tangohia te 13 i te 6, ka -7.

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

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

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

Tangohia te 13 i te 5, ka -8.

$$-7+13x=-8+13y$$

Me tāpiri te 7 ki ngā taha e rua.

$$13x=-8+13y+7$$

Tāpirihia te -8 ki te 7, ka -1.

$$13x=-1+13y$$

He hanga arowhānui tō te whārite.

$$13x=13y-1$$

Whakawehea ngā taha e rua ki te 13.

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

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

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

Whakawehe -1+13y ki te 13.

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

Whakaoti mō y

$$y = \frac{1}{13} = 0.07692307692307693$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

Tangohia te 13 i te 6, ka -7.

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

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

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

Tangohia te 13 i te 5, ka -8.

$$-7+13x=-8+13y$$

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

$$-8+13y=-7+13x$$

Me tāpiri te 8 ki ngā taha e rua.

$$13y=-7+13x+8$$

Tāpirihia te -7 ki te 8, ka 1.

$$13y=1+13x$$

He hanga arowhānui tō te whārite.

$$13y=13x+1$$

Whakawehea ngā taha e rua ki te 13.

$$\frac{13y}{13}=\frac{13x+1}{13}$$

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

$$y=\frac{13x+1}{13}$$

Whakawehe 1+13x ki te 13.

$$y=x+\frac{1}{13}$$