Whakaoti i te (x+10)*(y-5)=300

$$(x+10) \times (y-5)=300$$

Whakaoti mō x

$$x=-\frac{10\left(y-35\right)}{y-5}$$

$$y\neq 5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x+10 ki te y-5.

$$xy-5x+10y-50=300$$

Tangohia te 10y mai i ngā taha e rua.

$$xy-5x-50=300-10y$$

Me tāpiri te 50 ki ngā taha e rua.

$$xy-5x=300-10y+50$$

Tāpirihia te 300 ki te 50, ka 350.

$$xy-5x=350-10y$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(y-5\right)x=350-10y$$

Whakawehea ngā taha e rua ki te y-5.

$$\frac{\left(y-5\right)x}{y-5}=\frac{350-10y}{y-5}$$

Mā te whakawehe ki te y-5 ka wetekia te whakareanga ki te y-5.

$$x=\frac{350-10y}{y-5}$$

Whakawehe 350-10y ki te y-5.

$$x=\frac{10\left(35-y\right)}{y-5}$$

Whakaoti mō y

$$y=\frac{5\left(x+70\right)}{x+10}$$

$$x\neq -10$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x+10 ki te y-5.

$$xy-5x+10y-50=300$$

Me tāpiri te 5x ki ngā taha e rua.

$$xy+10y-50=300+5x$$

Me tāpiri te 50 ki ngā taha e rua.

$$xy+10y=300+5x+50$$

Tāpirihia te 300 ki te 50, ka 350.

$$xy+10y=350+5x$$

Pahekotia ngā kīanga tau katoa e whai ana i te y.

$$\left(x+10\right)y=350+5x$$

He hanga arowhānui tō te whārite.

$$\left(x+10\right)y=5x+350$$

Whakawehea ngā taha e rua ki te x+10.

$$\frac{\left(x+10\right)y}{x+10}=\frac{5x+350}{x+10}$$

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

$$y=\frac{5x+350}{x+10}$$

Whakawehe 350+5x ki te x+10.

$$y=\frac{5\left(x+70\right)}{x+10}$$