Whakaoti i te (x-4)/(-3x+1)=-14/6

$$\frac { ( x - 4 ) } { ( - 3 x + 1 ) } = - \frac { 14 } { 6 }$$

Whakaoti mō x

$$x=-\frac{5}{18}\approx -0.277777778$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$-6\left(x-4\right)=-\left(3x-1\right)\times 14$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te x-4.

$$-6x+24=-\left(3x-1\right)\times 14$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3x-1 ki te 14.

$$-6x+24=-\left(42x-14\right)$$

Hei kimi i te tauaro o 42x-14, kimihia te tauaro o ia taurangi.

$$-6x+24=-42x+14$$

Me tāpiri te 42x ki ngā taha e rua.

$$-6x+24+42x=14$$

Pahekotia te -6x me 42x, ka 36x.

$$36x+24=14$$

Tangohia te 24 mai i ngā taha e rua.

$$36x=14-24$$

Tangohia te 24 i te 14, ka -10.

$$36x=-10$$

Whakawehea ngā taha e rua ki te 36.

$$x=\frac{-10}{36}$$

Whakahekea te hautanga \frac{-10}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{5}{18}$$