Question

Aflați x;
a) 5x= 5supra 3
b) 2x = 6 supra 7
c) 3x= 18 supra 10
d) 4x = 10 supra 3
e) 1 supra 2 •x = 3
f) 2 supra 3•x= 8
g) 4 supra 5• x = 12
h) 3 supra 7•x=6
i) 4 supra 5 •x = 8 supra 15
j) 2 supra 3• x = 10 supra 21
k) x • 7 supra 8=21 supra 16
l)x• 15 supra 16= 15 supra 4
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Answer 1

a) 5x=\frac{5}{3} \\ x=\frac{5}{3}:\frac{5}{1} \\ x=\frac{5}{3}*\frac{1}{5}=\frac{5}{15} simplificat cu 5 = \frac{1}{3} \\ b) 2x=\frac{6}{7} \\ x=\frac{6}{7}:\frac{2}{1}= \\ x=\frac{6}{7}*\frac{1}{2}=\frac{6}{14} simplificat cu 2 = \frac{3}{7} \\ c)3x=\frac{18}{10}= \\ x=\frac{18}{10}:\frac{3}{1}= \\ x=\frac{18}{10}*\frac{1}{3}=\frac{18}{30} simplificat cu 6=\frac{3}{5} \\ d) 4x=\frac{10}{3}= \\ x=\frac{10}{3}:\frac{4}{1}= \\ x=\frac{10}{3}*\frac{1}{4}=\frac{10}{12} simplificat cu 2=\frac{5}{6} \\ e) \frac{1}{2}*x=3 \\ x=\frac{3}{1}:\frac{1}{2}=\frac{3}{1}*\frac{2}{1}=\frac{6}{1}=6 \\ f) \frac{2}{3}*x=8 \\ x=\frac{8}{1}:\frac{2}{3}=\frac{8}{1}*\frac{3}{2}=\frac{24}{2}=12 \\ g)\frac{4}{5}*x=12 \\ x=\frac{12}{1}:\frac{4}{5}=\frac{12}{1}*\frac{5}{4}=\frac{60}{4}=15 \\ h)\frac{3}{7}*x=6 \\ x=\frac{6}{1}:\frac{3}{7}=\frac{6}{1}*\frac{7}{3}=\frac{42}{3}=14 \\ i) \frac{4}{5}*x=\frac{8}{15} \\ x=\frac{8}{15}:\frac{4}{5}=\frac{8}{15}*\frac{5}{4}=\frac{40}{60} simplificat cu 20 = \frac{2}{3} \\ j) \frac{2}{3}*x=\frac{10}{21} \\ x=\frac{10}{21}:\frac{2}{3}=\frac{10}{21}*\frac{3}{2}=\frac{30}{42} simplificat cu 6=\frac{5}{7} \\ k) x*\frac{7}{8}=\frac{21}{16} \\ x=\frac{21}{16}:\frac{7}{8}=\frac{21}{16}*\frac{8}{7}= \\ x=\frac{168}{112} simplificat cu 56 = \frac{3}{2} \\ l) x*\frac{15}{16}=\frac{15}{4} \\ x=\frac{15}{4}:\frac{15}{16}=\frac{15}{4}*\frac{16}{15}= \\ x=\frac{240}{60}=4