Whakaoti i te 15+6-3b/8-b=6

$$15 + \frac { 6 - 3 b } { 8 - b } = 6$$

Whakaoti mō b

$$b = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe b ki 8 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te -b+8.

$$\left(-b+8\right)\times 15+6-3b=6\left(-b+8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -b+8 ki te 15.

$$-15b+120+6-3b=6\left(-b+8\right)$$

Tāpirihia te 120 ki te 6, ka 126.

$$-15b+126-3b=6\left(-b+8\right)$$

Pahekotia te -15b me -3b, ka -18b.

$$-18b+126=6\left(-b+8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te -b+8.

$$-18b+126=-6b+48$$

Me tāpiri te 6b ki ngā taha e rua.

$$-18b+126+6b=48$$

Pahekotia te -18b me 6b, ka -12b.

$$-12b+126=48$$

Tangohia te 126 mai i ngā taha e rua.

$$-12b=48-126$$

Tangohia te 126 i te 48, ka -78.

$$-12b=-78$$

Whakawehea ngā taha e rua ki te -12.

$$b=\frac{-78}{-12}$$

Whakahekea te hautanga \frac{-78}{-12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -6.

$$b=\frac{13}{2}$$