Question

Aflati numarulnatural x astfelincat fiecare dintre urmatoarele egalitati sa fie adevarate a)3supra5=xsupra 10b)7suprax=21supra15c)x+2suprax+7=3x+6supra48

Answer 1

 $a).\;\frac{3}{5}=\frac{x}{10} \;\;\rightarrow\;\;x=\frac{3*10}{5}=6\;;\\ b).\;\frac{7}{x}=\frac{21}{15}\;\rightarrow\;x=\frac{15*7}{21}=5\;;\\ c).\;\frac{x+2}{x+7}=\frac{3x+6}{48}\;\\ \rightarrow\;\frac{48(x+2)}{(x+7)(3x+6)}=\\ \frac{48(x\not+2)}{3(x\not+2)(x+7)}=\frac{16}{x+7}$