Whakaoti i te 2x-4/3-x=3/4

$$\frac { 2 x - 4 } { 3 - x } = \frac { 3 } { 4 }$$

Whakaoti mō x

$$x = \frac{25}{11} = 2\frac{3}{11} \approx 2.272727273$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 3 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 4\left(x-3\right), arā, te tauraro pātahi he tino iti rawa te kitea o 3-x,4.

$$-4\left(2x-4\right)=3\left(x-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 2x-4.

$$-8x+16=3\left(x-3\right)$$

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

$$-8x+16=3x-9$$

Tangohia te 3x mai i ngā taha e rua.

$$-8x+16-3x=-9$$

Pahekotia te -8x me -3x, ka -11x.

$$-11x+16=-9$$

Tangohia te 16 mai i ngā taha e rua.

$$-11x=-9-16$$

Tangohia te 16 i te -9, ka -25.

$$-11x=-25$$

Whakawehea ngā taha e rua ki te -11.

$$x=\frac{-25}{-11}$$

Ka taea te hautanga \frac{-25}{-11} te whakamāmā ki te \frac{25}{11} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{25}{11}$$