Whakaoti i te x/5+5/y=10

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

Whakaoti mō x

$$x=50-\frac{25}{y}$$

$$y\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 5y, arā, te tauraro pātahi he tino iti rawa te kitea o 5,y.

$$yx+5\times 5=50y$$

Whakareatia te 5 ki te 5, ka 25.

$$yx+25=50y$$

Tangohia te 25 mai i ngā taha e rua.

$$yx=50y-25$$

Whakawehea ngā taha e rua ki te y.

$$\frac{yx}{y}=\frac{50y-25}{y}$$

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

$$x=\frac{50y-25}{y}$$

Whakawehe 50y-25 ki te y.

$$x=50-\frac{25}{y}$$

Whakaoti mō y

$$y=-\frac{25}{x-50}$$

$$x\neq 50$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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 5y, arā, te tauraro pātahi he tino iti rawa te kitea o 5,y.

$$yx+5\times 5=50y$$

Whakareatia te 5 ki te 5, ka 25.

$$yx+25=50y$$

Tangohia te 50y mai i ngā taha e rua.

$$yx+25-50y=0$$

Tangohia te 25 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$yx-50y=-25$$

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

$$\left(x-50\right)y=-25$$

Whakawehea ngā taha e rua ki te -50+x.

$$\frac{\left(x-50\right)y}{x-50}=-\frac{25}{x-50}$$

Mā te whakawehe ki te -50+x ka wetekia te whakareanga ki te -50+x.

$$y=-\frac{25}{x-50}$$

Tē taea kia ōrite te tāupe y ki 0.

$$y=-\frac{25}{x-50}\text{, }y\neq 0$$