Whakaoti i te 5/frac{5{3}}+8/y=5

$$\frac { 5 } { \frac { 5 } { 3 } } + \frac { 8 } { y } = 5$$

Whakaoti mō y

$$y=4$$

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. Whakareatia ngā taha e rua o te whārite ki te y.

$$y\times \frac{5}{\frac{5}{3}}+8=5y$$

Whakawehe 5 ki te \frac{5}{3} mā te whakarea 5 ki te tau huripoki o \frac{5}{3}.

$$y\times 5\times \frac{3}{5}+8=5y$$

Me whakakore te 5 me te 5.

$$y\times 3+8=5y$$

Tangohia te 5y mai i ngā taha e rua.

$$y\times 3+8-5y=0$$

Pahekotia te y\times 3 me -5y, ka -2y.

$$-2y+8=0$$

Tangohia te 8 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-2y=-8$$

Whakawehea ngā taha e rua ki te -2.

$$y=\frac{-8}{-2}$$

Whakawehea te -8 ki te -2, kia riro ko 4.

$$y=4$$