Whakaoti i te 1/x-1-2/x-2=1/2x-2-7/3(2x-4)

$$\frac { 1 } { x - 1 } - \frac { 2 } { x - 2 } = \frac { 1 } { 2 x - 2 } - \frac { 7 } { 3 ( 2 x - 4 ) }$$

Whakaoti mō x

$$x=-\frac{1}{2}=-0.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara 1,2 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 6\left(x-2\right)\left(x-1\right), arā, te tauraro pātahi he tino iti rawa te kitea o x-1,x-2,2x-2,3\left(2x-4\right).

$$6x-12-\left(6x-6\right)\times 2=3x-6-\left(x-1\right)\times 7$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6x-6 ki te 2.

$$6x-12-\left(12x-12\right)=3x-6-\left(x-1\right)\times 7$$

Hei kimi i te tauaro o 12x-12, kimihia te tauaro o ia taurangi.

$$6x-12-12x+12=3x-6-\left(x-1\right)\times 7$$

Pahekotia te 6x me -12x, ka -6x.

$$-6x-12+12=3x-6-\left(x-1\right)\times 7$$

Tāpirihia te -12 ki te 12, ka 0.

$$-6x=3x-6-\left(x-1\right)\times 7$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-1 ki te 7.

$$-6x=3x-6-\left(7x-7\right)$$

Hei kimi i te tauaro o 7x-7, kimihia te tauaro o ia taurangi.

$$-6x=3x-6-7x+7$$

Pahekotia te 3x me -7x, ka -4x.

$$-6x=-4x-6+7$$

Tāpirihia te -6 ki te 7, ka 1.

$$-6x=-4x+1$$

Me tāpiri te 4x ki ngā taha e rua.

$$-6x+4x=1$$

Pahekotia te -6x me 4x, ka -2x.

$$-2x=1$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{1}{-2}$$

Ka taea te hautanga \frac{1}{-2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.

$$x=-\frac{1}{2}$$