Whakaoti i te 3/2b+2b/b-3=2

$$\frac { 3 } { 2 b } + \frac { 2 b } { b - 3 } = 2$$

Whakaoti mō b

$$b=\frac{3}{5}=0.6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe b ki tētahi o ngā uara 0,3 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 2b\left(b-3\right), arā, te tauraro pātahi he tino iti rawa te kitea o 2b,b-3.

$$\left(b-3\right)\times 3+2b\times 2b=4b\left(b-3\right)$$

Whakareatia te 2b ki te 2b, ka \left(2b\right)^{2}.

$$\left(b-3\right)\times 3+\left(2b\right)^{2}=4b\left(b-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te b-3 ki te 3.

$$3b-9+\left(2b\right)^{2}=4b\left(b-3\right)$$

Whakarohaina te \left(2b\right)^{2}.

$$3b-9+2^{2}b^{2}=4b\left(b-3\right)$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$3b-9+4b^{2}=4b\left(b-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4b ki te b-3.

$$3b-9+4b^{2}=4b^{2}-12b$$

Tangohia te 4b^{2} mai i ngā taha e rua.

$$3b-9+4b^{2}-4b^{2}=-12b$$

Pahekotia te 4b^{2} me -4b^{2}, ka 0.

$$3b-9=-12b$$

Me tāpiri te 12b ki ngā taha e rua.

$$3b-9+12b=0$$

Pahekotia te 3b me 12b, ka 15b.

$$15b-9=0$$

Me tāpiri te 9 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$15b=9$$

Whakawehea ngā taha e rua ki te 15.

$$b=\frac{9}{15}$$

Whakahekea te hautanga \frac{9}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$b=\frac{3}{5}$$