2a=3b;5b=7c
=>\(\dfrac{a}{3}=\dfrac{b}{2};\dfrac{b}{7}=\dfrac{c}{5}\)
=>\(\dfrac{a}{21}=\dfrac{b}{14};\dfrac{b}{14}=\dfrac{c}{10}\)
=>\(\dfrac{a}{21}=\dfrac{b}{14}=\dfrac{c}{10}=\dfrac{3a+5c-7b}{3.21+5.10-7.14}=\dfrac{30}{15}=2\)
=>a = 21.2=42
=>b = 14.2=28
=>c = 10.2=20
=>đpcm