[tex]zad.1\\\\a) \\\dfrac{x}{6} =\dfrac{5}{3} \\\\3x=5\cdot 6\\\\3x=30~~\mid \div 3\\\\x=10\\\\b)\\\dfrac{4}{x} =\dfrac{2}{5} ~~, ~~zal.~~x\neq 0\\\\2x=4\cdot 5\\\\2x=20~~\mid \div 2\\\\x=10\\\\c)\\\dfrac{3}{4} =\dfrac{x}{8}\\\\4x=3\cdot 8\\\\4x=24~~\mid \div 4\\\\x=6\\\\d)\\\dfrac{4}{5} =\dfrac{3}{x}~~, ~~zal.~~x\neq 0\\\\4x=5\cdot 3\\\\4x=15~~\mid \div 4\\\\x=\frac{15}{4}\\\\x=3\dfrac{3}{4}[/tex]
[tex]zad.2\\\\a)\\\\\dfrac{x+6}{2} =\dfrac{4}{3}\\\\3\cdot (x+6)=4\cdot 2\\\\3x + 18 =8~~\mid -18\\\\3x=8-18\\\\3x=-10~~\mid \div 3\\\\x=-\dfrac{10}{3} \\\\x=-3\dfrac{1}{3} \\\\b)\\\\\dfrac{5}{x-4} =\dfrac{3}{2}~~zal.~~x\neq 4\\\\3\cdot (x-4)=5\cdot 2\\\\3x -12=10~~\mid +12\\\\3x=10+12\\\\3x=22~~\mid \div 3\\\\x=\frac{22}{3}\\\\x=7\dfrac{1}{3} \\\\c)\\\\\dfrac{1}{3} =\dfrac{x-7}{6}\\\\3\cdot (x-7)=6\cdot 1\\\\3x-21=6~~\mid +21\\\\3x=6+21\\[/tex]
[tex]3x=27~~\mid \div 3\\\\x=\dfrac{27}{3}\\\\x=9[/tex]
