Whakaoti i te 3/x-19=19/x-3

$$\frac { 3 } { x - 19 } = \frac { 19 } { x - 3 }$$

Whakaoti mō x

$$x=22$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara 3,19 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(x-19\right)\left(x-3\right), arā, te tauraro pātahi he tino iti rawa te kitea o x-19,x-3.

$$\left(x-3\right)\times 3=\left(x-19\right)\times 19$$

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

$$3x-9=\left(x-19\right)\times 19$$

Whakamahia te āhuatanga tohatoha hei whakarea te x-19 ki te 19.

$$3x-9=19x-361$$

Tangohia te 19x mai i ngā taha e rua.

$$3x-9-19x=-361$$

Pahekotia te 3x me -19x, ka -16x.

$$-16x-9=-361$$

Me tāpiri te 9 ki ngā taha e rua.

$$-16x=-361+9$$

Tāpirihia te -361 ki te 9, ka -352.

$$-16x=-352$$

Whakawehea ngā taha e rua ki te -16.

$$x=\frac{-352}{-16}$$

Whakawehea te -352 ki te -16, kia riro ko 22.

$$x=22$$