– Áp dụng quy tắc chuyển vế
– Áp dụng các quy tắc: Muốn tìm thừa số ta lấy tích chia cho thừa số còn lại.
Lời giải chi tiết
a)
(begin{array}{l}x + frac{3}{5} = frac{2}{3}\x = frac{2}{3} – frac{3}{5}\x = frac{{10}}{{15}} – frac{9}{{15}}\x = frac{1}{{15}}end{array})
Vậy (x = frac{1}{{15}}).
b)
(begin{array}{l}frac{3}{7} – x = frac{2}{5}\x = frac{3}{7} – frac{2}{5}\x = frac{{15}}{{35}} – frac{{14}}{{35}}\x = frac{1}{{35}}end{array})
Vậy (x = frac{1}{{35}}).
c)
(begin{array}{l}frac{4}{9} – frac{2}{3}x = frac{1}{3}\frac{2}{3}x = frac{4}{9} – frac{1}{3}\frac{2}{3}x = frac{4}{9} – frac{3}{9}\frac{2}{3}x = frac{1}{9}\x = frac{1}{9}:frac{2}{3}\x = frac{1}{9}.frac{3}{2}\x = frac{1}{6}end{array})
Vậy (x = frac{1}{6}).
d)
(begin{array}{l}frac{3}{{10}}x – 1frac{1}{2} = left( {frac{{ – 2}}{7}} right):frac{5}{{14}}\frac{3}{{10}}x – frac{3}{2} = left( {frac{{ – 2}}{7}} right).frac{{14}}{5}\frac{3}{{10}}x – frac{3}{2} = frac{{ – 4}}{5}\frac{3}{{10}}x = frac{{ – 4}}{5} + frac{3}{2}\frac{3}{{10}}x = frac{{ – 8}}{{10}} + frac{{15}}{{10}}\frac{3}{{10}}x = frac{7}{{10}}\x = frac{7}{{10}}:frac{3}{{10}}\x = frac{7}{3}end{array})
Vậy (x = frac{7}{3}).
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