Whakaoti i te 3/x+5=4/1-2x

$$\frac { 3 } { x + 5 } = \frac { 4 } { 1 - 2 x }$$

Whakaoti mō x

$$x = -\frac{17}{10} = -1\frac{7}{10} = -1.7$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -5,\frac{1}{2} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(2x-1\right)\left(x+5\right), arā, te tauraro pātahi he tino iti rawa te kitea o x+5,1-2x.

$$\left(2x-1\right)\times 3=-\left(5+x\right)\times 4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2x-1 ki te 3.

$$6x-3=-\left(5+x\right)\times 4$$

Whakareatia te -1 ki te 4, ka -4.

$$6x-3=-4\left(5+x\right)$$

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

$$6x-3=-20-4x$$

Me tāpiri te 4x ki ngā taha e rua.

$$6x-3+4x=-20$$

Pahekotia te 6x me 4x, ka 10x.

$$10x-3=-20$$

Me tāpiri te 3 ki ngā taha e rua.

$$10x=-20+3$$

Tāpirihia te -20 ki te 3, ka -17.

$$10x=-17$$

Whakawehea ngā taha e rua ki te 10.

$$x=\frac{-17}{10}$$

Ka taea te hautanga \frac{-17}{10} te tuhi anō ko -\frac{17}{10} mā te tango i te tohu tōraro.

$$x=-\frac{17}{10}$$