Whakaoti i te 28+x/x=28+y/y

$$\frac{ 28+x }{ x } = \frac{ 28+y }{ y }$$

Whakaoti mō x

$$x=y$$

$$y\neq 0$$

Ngā Upane Otinga

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te xy, arā, te tauraro pātahi he tino iti rawa te kitea o x,y.

$$y\left(28+x\right)=x\left(28+y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te 28+x.

$$28y+yx=x\left(28+y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te 28+y.

$$28y+yx=28x+xy$$

Tangohia te 28x mai i ngā taha e rua.

$$28y+yx-28x=xy$$

Tangohia te xy mai i ngā taha e rua.

$$28y+yx-28x-xy=0$$

Pahekotia te yx me -xy, ka 0.

$$28y-28x=0$$

Tangohia te 28y mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-28x=-28y$$

Me whakakore te -28 ki ngā taha e rua.

$$x=y$$

Tē taea kia ōrite te tāupe x ki 0.

$$x=y\text{, }x\neq 0$$

Whakaoti mō y

$$y=x$$

$$x\neq 0$$

Ngā Upane Otinga

Tē taea kia ōrite te tāupe y ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te xy, arā, te tauraro pātahi he tino iti rawa te kitea o x,y.

$$y\left(28+x\right)=x\left(28+y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te y ki te 28+x.

$$28y+yx=x\left(28+y\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te x ki te 28+y.

$$28y+yx=28x+xy$$

Tangohia te xy mai i ngā taha e rua.

$$28y+yx-xy=28x$$

Pahekotia te yx me -xy, ka 0.

$$28y=28x$$

Me whakakore te 28 ki ngā taha e rua.

$$y=x$$

Tē taea kia ōrite te tāupe y ki 0.

$$y=x\text{, }y\neq 0$$