Whakaoti i te 60+90(x-1)=130+80(y-1)

$$60 + 90 ( x - 1 ) = 130 + 80 ( y - 1 )$$

Whakaoti mō x

$$x=\frac{8\left(y+1\right)}{9}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 90 ki te x-1.

$$60+90x-90=130+80\left(y-1\right)$$

Tangohia te 90 i te 60, ka -30.

$$-30+90x=130+80\left(y-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 80 ki te y-1.

$$-30+90x=130+80y-80$$

Tangohia te 80 i te 130, ka 50.

$$-30+90x=50+80y$$

Me tāpiri te 30 ki ngā taha e rua.

$$90x=50+80y+30$$

Tāpirihia te 50 ki te 30, ka 80.

$$90x=80+80y$$

He hanga arowhānui tō te whārite.

$$90x=80y+80$$

Whakawehea ngā taha e rua ki te 90.

$$\frac{90x}{90}=\frac{80y+80}{90}$$

Mā te whakawehe ki te 90 ka wetekia te whakareanga ki te 90.

$$x=\frac{80y+80}{90}$$

Whakawehe 80+80y ki te 90.

$$x=\frac{8y+8}{9}$$

Whakaoti mō y

$$y=\frac{9x}{8}-1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 90 ki te x-1.

$$60+90x-90=130+80\left(y-1\right)$$

Tangohia te 90 i te 60, ka -30.

$$-30+90x=130+80\left(y-1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 80 ki te y-1.

$$-30+90x=130+80y-80$$

Tangohia te 80 i te 130, ka 50.

$$-30+90x=50+80y$$

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

$$50+80y=-30+90x$$

Tangohia te 50 mai i ngā taha e rua.

$$80y=-30+90x-50$$

Tangohia te 50 i te -30, ka -80.

$$80y=-80+90x$$

He hanga arowhānui tō te whārite.

$$80y=90x-80$$

Whakawehea ngā taha e rua ki te 80.

$$\frac{80y}{80}=\frac{90x-80}{80}$$

Mā te whakawehe ki te 80 ka wetekia te whakareanga ki te 80.

$$y=\frac{90x-80}{80}$$

Whakawehe -80+90x ki te 80.

$$y=\frac{9x}{8}-1$$