Whakaoti i te k+6/9k+10=k+5/9k+5

$$\frac { k + 6 } { 9 k + 10 } = \frac { k + 5 } { 9 k + 5 }$$

Whakaoti mō k

$$k=5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe k ki tētahi o ngā uara -\frac{10}{9},-\frac{5}{9} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(9k+5\right)\left(9k+10\right), arā, te tauraro pātahi he tino iti rawa te kitea o 9k+10,9k+5.

$$\left(9k+5\right)\left(k+6\right)=\left(9k+10\right)\left(k+5\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 9k+5 ki te k+6 ka whakakotahi i ngā kupu rite.

$$9k^{2}+59k+30=\left(9k+10\right)\left(k+5\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te 9k+10 ki te k+5 ka whakakotahi i ngā kupu rite.

$$9k^{2}+59k+30=9k^{2}+55k+50$$

Tangohia te 9k^{2} mai i ngā taha e rua.

$$9k^{2}+59k+30-9k^{2}=55k+50$$

Pahekotia te 9k^{2} me -9k^{2}, ka 0.

$$59k+30=55k+50$$

Tangohia te 55k mai i ngā taha e rua.

$$59k+30-55k=50$$

Pahekotia te 59k me -55k, ka 4k.

$$4k+30=50$$

Tangohia te 30 mai i ngā taha e rua.

$$4k=50-30$$

Tangohia te 30 i te 50, ka 20.

$$4k=20$$

Whakawehea ngā taha e rua ki te 4.

$$k=\frac{20}{4}$$

Whakawehea te 20 ki te 4, kia riro ko 5.

$$k=5$$