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

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

Whakaoti mō x

$$x = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 1 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x-1.

$$5+\frac{1}{2}x-\frac{1}{2}=2\left(x-1\right)$$

Tangohia te \frac{1}{2} i te 5, ka \frac{9}{2}.

$$\frac{9}{2}+\frac{1}{2}x=2\left(x-1\right)$$

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

$$\frac{9}{2}+\frac{1}{2}x=2x-2$$

Tangohia te 2x mai i ngā taha e rua.

$$\frac{9}{2}+\frac{1}{2}x-2x=-2$$

Pahekotia te \frac{1}{2}x me -2x, ka -\frac{3}{2}x.

$$\frac{9}{2}-\frac{3}{2}x=-2$$

Tangohia te \frac{9}{2} mai i ngā taha e rua.

$$-\frac{3}{2}x=-2-\frac{9}{2}$$

Tangohia te \frac{9}{2} i te -2, ka -\frac{13}{2}.

$$-\frac{3}{2}x=-\frac{13}{2}$$

Me whakarea ngā taha e rua ki te -\frac{2}{3}, te tau utu o -\frac{3}{2}.

$$x=-\frac{13}{2}\left(-\frac{2}{3}\right)$$

Whakareatia te -\frac{13}{2} ki te -\frac{2}{3}, ka \frac{13}{3}.

$$x=\frac{13}{3}$$