Whakaoti i te -5/3x+2=2/4-5x

$$\frac { - 5 } { 3 x + 2 } = \frac { 2 } { 4 - 5 x }$$

Whakaoti mō x

$$x = \frac{24}{19} = 1\frac{5}{19} \approx 1.263157895$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -\frac{2}{3},\frac{4}{5} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(5x-4\right)\left(3x+2\right), arā, te tauraro pātahi he tino iti rawa te kitea o 3x+2,4-5x.

$$\left(5x-4\right)\left(-5\right)=\left(-2-3x\right)\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5x-4 ki te -5.

$$-25x+20=\left(-2-3x\right)\times 2$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2-3x ki te 2.

$$-25x+20=-4-6x$$

Me tāpiri te 6x ki ngā taha e rua.

$$-25x+20+6x=-4$$

Pahekotia te -25x me 6x, ka -19x.

$$-19x+20=-4$$

Tangohia te 20 mai i ngā taha e rua.

$$-19x=-4-20$$

Tangohia te 20 i te -4, ka -24.

$$-19x=-24$$

Whakawehea ngā taha e rua ki te -19.

$$x=\frac{-24}{-19}$$

Ka taea te hautanga \frac{-24}{-19} te whakamāmā ki te \frac{24}{19} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{24}{19}$$