Datrys {l}{5250=11/2[2a+(n-1)(-15)]}{6500=n[610+(n-1)(-15)}

$$\left. \begin{array} { l } { 5250 = \frac { 11 } { 2 } [ 2 a + ( n - 1 ) ( - 15 ) ] } \\ { 6500 = n [ 610 + ( n - 1 ) ( - 15 ) } \end{array} \right.$$

Datrys ar gyfer a, n

$$a = \frac{1082835}{22} = 49219\frac{17}{22} \approx 49219.772727273$$

$$n=6500$$

Camau Ateb

Ystyriwch yr ail hafaliad. Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$n=6500$$

Ystyriwch yr hafaliad cyntaf. Mewnosod y gwerthoedd sy’n hysbys i’r hafaliad.

$$5250=\frac{11}{2}\left(2a+\left(6500-1\right)\left(-15\right)\right)$$

Lluoswch y ddwy ochr â \frac{2}{11}, cilyddol \frac{11}{2}.

$$5250\times \frac{2}{11}=2a+\left(6500-1\right)\left(-15\right)$$

Lluosi 5250 a \frac{2}{11} i gael \frac{10500}{11}.

$$\frac{10500}{11}=2a+\left(6500-1\right)\left(-15\right)$$

Tynnu 1 o 6500 i gael 6499.

$$\frac{10500}{11}=2a+6499\left(-15\right)$$

Lluosi 6499 a -15 i gael -97485.

$$\frac{10500}{11}=2a-97485$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$2a-97485=\frac{10500}{11}$$

Ychwanegu 97485 at y ddwy ochr.

$$2a=\frac{10500}{11}+97485$$

Adio \frac{10500}{11} a 97485 i gael \frac{1082835}{11}.

$$2a=\frac{1082835}{11}$$

Rhannu’r ddwy ochr â 2.

$$a=\frac{\frac{1082835}{11}}{2}$$

Mynegwch \frac{\frac{1082835}{11}}{2} fel ffracsiwn unigol.

$$a=\frac{1082835}{11\times 2}$$

Lluosi 11 a 2 i gael 22.

$$a=\frac{1082835}{22}$$

Mae’r system wedi’i datrys nawr.

$$a=\frac{1082835}{22} n=6500$$