Whakaoti i te {l}{1/8!+1/9!=x/10!}{y=8}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { \frac{1}{8 !} + \frac{1}{9 !} = \frac{x}{10 !} }\\ { y = 8 }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Whakaoti mō x, y, z, a

$$a=8$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Ko te huarea o 8 ko 40320.

$$\frac{1}{40320}+\frac{1}{9!}=\frac{x}{10!}$$

Ko te huarea o 9 ko 362880.

$$\frac{1}{40320}+\frac{1}{362880}=\frac{x}{10!}$$

Tāpirihia te \frac{1}{40320} ki te \frac{1}{362880}, ka \frac{1}{36288}.

$$\frac{1}{36288}=\frac{x}{10!}$$

Ko te huarea o 10 ko 3628800.

$$\frac{1}{36288}=\frac{x}{3628800}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{x}{3628800}=\frac{1}{36288}$$

Me whakarea ngā taha e rua ki te 3628800.

$$x=\frac{1}{36288}\times 3628800$$

Whakareatia te \frac{1}{36288} ki te 3628800, ka 100.

$$x=100$$

Kua oti te pūnaha te whakatau.

$$x=100 y=8 z=8 a=8$$