Whakaoti i te (x+5)(y+1)=(x+8)(y-3)

$$(x+5)(y+1)=(x+8)(y-3)$$

Whakaoti mō x

$$x=\frac{3y-29}{4}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x+5 ki te y+1.

$$xy+x+5y+5=\left(x+8\right)\left(y-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+8 ki te y-3.

$$xy+x+5y+5=xy-3x+8y-24$$

Tangohia te xy mai i ngā taha e rua.

$$xy+x+5y+5-xy=-3x+8y-24$$

Pahekotia te xy me -xy, ka 0.

$$x+5y+5=-3x+8y-24$$

Me tāpiri te 3x ki ngā taha e rua.

$$x+5y+5+3x=8y-24$$

Pahekotia te x me 3x, ka 4x.

$$4x+5y+5=8y-24$$

Tangohia te 5y mai i ngā taha e rua.

$$4x+5=8y-24-5y$$

Pahekotia te 8y me -5y, ka 3y.

$$4x+5=3y-24$$

Tangohia te 5 mai i ngā taha e rua.

$$4x=3y-24-5$$

Tangohia te 5 i te -24, ka -29.

$$4x=3y-29$$

Whakawehea ngā taha e rua ki te 4.

$$\frac{4x}{4}=\frac{3y-29}{4}$$

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

$$x=\frac{3y-29}{4}$$

Whakaoti mō y

$$y=\frac{4x+29}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x+5 ki te y+1.

$$xy+x+5y+5=\left(x+8\right)\left(y-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te x+8 ki te y-3.

$$xy+x+5y+5=xy-3x+8y-24$$

Tangohia te xy mai i ngā taha e rua.

$$xy+x+5y+5-xy=-3x+8y-24$$

Pahekotia te xy me -xy, ka 0.

$$x+5y+5=-3x+8y-24$$

Tangohia te 8y mai i ngā taha e rua.

$$x+5y+5-8y=-3x-24$$

Pahekotia te 5y me -8y, ka -3y.

$$x-3y+5=-3x-24$$

Tangohia te x mai i ngā taha e rua.

$$-3y+5=-3x-24-x$$

Pahekotia te -3x me -x, ka -4x.

$$-3y+5=-4x-24$$

Tangohia te 5 mai i ngā taha e rua.

$$-3y=-4x-24-5$$

Tangohia te 5 i te -24, ka -29.

$$-3y=-4x-29$$

Whakawehea ngā taha e rua ki te -3.

$$\frac{-3y}{-3}=\frac{-4x-29}{-3}$$

Mā te whakawehe ki te -3 ka wetekia te whakareanga ki te -3.

$$y=\frac{-4x-29}{-3}$$

Whakawehe -4x-29 ki te -3.

$$y=\frac{4x+29}{3}$$