Issolvi 7*5=a(r^5-1)/r-1

$$7 \cdot 5 = \frac { a ( r ^ { 5 } - 1 ) } { r - 1 }$$

Solvi għal a

$$a=\frac{35}{r^{4}+r^{3}+r^{2}+r+1}$$

$$r\neq 1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'r-1.

$$7\times 5\left(r-1\right)=a\left(r^{5}-1\right)$$

Immultiplika 7 u 5 biex tikseb 35.

$$35\left(r-1\right)=a\left(r^{5}-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 35 b'r-1.

$$35r-35=a\left(r^{5}-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika a b'r^{5}-1.

$$35r-35=ar^{5}-a$$

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

$$ar^{5}-a=35r-35$$

Ikkombina t-termini kollha li fihom a.

$$\left(r^{5}-1\right)a=35r-35$$

Iddividi ż-żewġ naħat b'r^{5}-1.

$$\frac{\left(r^{5}-1\right)a}{r^{5}-1}=\frac{35r-35}{r^{5}-1}$$

Meta tiddividi b'r^{5}-1 titneħħa l-multiplikazzjoni b'r^{5}-1.

$$a=\frac{35r-35}{r^{5}-1}$$

Iddividi -35+35r b'r^{5}-1.

$$a=\frac{35}{r^{4}+r^{3}+r^{2}+r+1}$$