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

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

Solvi għal a, n

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

$$n=6500$$

Passi tas-Soluzzjonijiet

Ikkunsidra t-tieni ekwazzjoni. Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$n=6500$$

Ikkunsidra l-ewwel ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

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

Immultiplika ż-żewġ naħat b'\frac{2}{11}, ir-reċiproku ta' \frac{11}{2}.

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

Immultiplika 5250 u \frac{2}{11} biex tikseb \frac{10500}{11}.

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

Naqqas 1 minn 6500 biex tikseb 6499.

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

Immultiplika 6499 u -15 biex tikseb -97485.

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

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

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

Żid 97485 maż-żewġ naħat.

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

Żid \frac{10500}{11} u 97485 biex tikseb \frac{1082835}{11}.

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

Iddividi ż-żewġ naħat b'2.

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

Esprimi \frac{\frac{1082835}{11}}{2} bħala frazzjoni waħda.

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

Immultiplika 11 u 2 biex tikseb 22.

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

Is-sistema issa solvuta.

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