Whakaoti i te 6/19=x-12/2x-2

$$\frac { 6 } { 19 } = \frac { x - 12 } { 2 x - 2 }$$

Whakaoti mō x

$$x = \frac{216}{7} = 30\frac{6}{7} \approx 30.857142857$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 1 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 38\left(x-1\right), arā, te tauraro pātahi he tino iti rawa te kitea o 19,2x-2.

$$12\left(x-1\right)=19\left(x-12\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 12 ki te x-1.

$$12x-12=19\left(x-12\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 19 ki te x-12.

$$12x-12=19x-228$$

Tangohia te 19x mai i ngā taha e rua.

$$12x-12-19x=-228$$

Pahekotia te 12x me -19x, ka -7x.

$$-7x-12=-228$$

Me tāpiri te 12 ki ngā taha e rua.

$$-7x=-228+12$$

Tāpirihia te -228 ki te 12, ka -216.

$$-7x=-216$$

Whakawehea ngā taha e rua ki te -7.

$$x=\frac{-216}{-7}$$

Ka taea te hautanga \frac{-216}{-7} te whakamāmā ki te \frac{216}{7} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{216}{7}$$