Whakaoti i te 1/8+1/x=1/45

$$\frac { 1 } { 8 } + \frac { 1 } { x } = \frac { 1 } { 45 }$$

Whakaoti mō x

$$x = -\frac{360}{37} = -9\frac{27}{37} \approx -9.72972973$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 360x, arā, te tauraro pātahi he tino iti rawa te kitea o 8,x,45.

$$360x\times \frac{1}{8}+360=8x$$

Whakareatia te 360 ki te \frac{1}{8}, ka \frac{360}{8}.

$$\frac{360}{8}x+360=8x$$

Whakawehea te 360 ki te 8, kia riro ko 45.

$$45x+360=8x$$

Tangohia te 8x mai i ngā taha e rua.

$$45x+360-8x=0$$

Pahekotia te 45x me -8x, ka 37x.

$$37x+360=0$$

Tangohia te 360 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$37x=-360$$

Whakawehea ngā taha e rua ki te 37.

$$x=\frac{-360}{37}$$

Ka taea te hautanga \frac{-360}{37} te tuhi anō ko -\frac{360}{37} mā te tango i te tohu tōraro.

$$x=-\frac{360}{37}$$