Whakaoti i te (c+10)30/40+c=16

$$\frac { ( c + 10 ) 30 } { 40 + c } = 16$$

Whakaoti mō c

$$c = \frac{170}{7} = 24\frac{2}{7} \approx 24.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe c ki -40 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te c+40.

$$\left(c+10\right)\times 30=16\left(c+40\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te c+10 ki te 30.

$$30c+300=16\left(c+40\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 16 ki te c+40.

$$30c+300=16c+640$$

Tangohia te 16c mai i ngā taha e rua.

$$30c+300-16c=640$$

Pahekotia te 30c me -16c, ka 14c.

$$14c+300=640$$

Tangohia te 300 mai i ngā taha e rua.

$$14c=640-300$$

Tangohia te 300 i te 640, ka 340.

$$14c=340$$

Whakawehea ngā taha e rua ki te 14.

$$c=\frac{340}{14}$$

Whakahekea te hautanga \frac{340}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$c=\frac{170}{7}$$