Răspuns:
un caiet = 10 lei
un pix = 3 lei
un creion = 1 leu
Explicație pas cu pas:
Salutare !
Notam cu:
c - pretul unui caiet
p - pretul unui pix
r - pretul unui creion
[tex]\displaystyle\bf\\5*c + 3*p+12*r = 71\: lei\\\\c = p+7\\\\ p = 3 * r \\\\Inlocuim\: pe\: p\: din\: ultima \: relatie \: in \: a\: doua\: relatie\\\\ \boxed{c = 3r+7}\\\\Inlocuim\: pe\: p\: si\: c\: \: in\:suma\: (prima\: relatie)\\\\5*(3r+7)+3*3r+12r = 71\\\\15r+35+9r+12r=71\\\\36r+35=71\\\\36r = 71-35\\\\36r = 36\\\\r = 36:36\\\\\boxed{\displaystyle\bf\ r = 1\:lei}\\\\p = 3*1\\\\\boxed{\displaystyle\bf\ p=3\:lei}\\\\ c= 3*1+7\\\\c =3+7\\\\\boxed{\displaystyle\bf\ c=10\:lei}[/tex]
Bafta multa ( ^ ^ )