Bài 1: a) 7/5 – 2/5 x = 1 – 3/20
b) 2/5 x + -3/7 = -1/5 x + 8/14
c) / 3/2 – x / = 25%
Bài 2 : a) x + 2/5 = -7/10
b) (-4)-2x = (-3).6
c) 2/3 – ( 8/3 – x ) = -1
d) -3/4 . / x – 5 / = -9/2
Bài 1: a) 7/5 – 2/5 x = 1 – 3/20
b) 2/5 x + -3/7 = -1/5 x + 8/14
c) / 3/2 – x / = 25%
Bài 2 : a) x + 2/5 = -7/10
b) (-4)-2x = (-3).6
c) 2/3 – ( 8/3 – x ) = -1
d) -3/4 . / x – 5 / = -9/2
Đáp án:
$1)
a)x=\dfrac{11}{8}\\
b)
x=\dfrac{5}{3}\\
c)
{\left[\begin{aligned} x =\dfrac{5}{4}\\ x =\dfrac{7}{4}\end{aligned}\right.}\\
2)
a)
x=\dfrac{-11}{10}\\
b)
x=7\\
c)
x=1\\
d)
{\left[\begin{aligned}x=11\\x=-1\end{aligned}\right.}\\$
Giải thích các bước giải:
$1)
a)\dfrac{7}{5}-\dfrac{2}{5}x=1-\dfrac{3}{20}\\
\Leftrightarrow \dfrac{2}{5}x=\dfrac{7}{5}-1+\dfrac{3}{20}\\
\Leftrightarrow \dfrac{2}{5}x=\dfrac{28}{20}-\dfrac{20}{20}+\dfrac{3}{20}\\
\Leftrightarrow \dfrac{2}{5}x=\dfrac{11}{20}\\
\Leftrightarrow x=\dfrac{11}{20}.\dfrac{5}{2}=\dfrac{11}{8}\\
b)
\dfrac{2}{5}x+\dfrac{-3}{7}=\dfrac{-1}{5}x+\dfrac{8}{14}\\
\Leftrightarrow \dfrac{2}{5}x+\dfrac{1}{5}x=\dfrac{3}{7}+\dfrac{8}{14}\\
\Leftrightarrow \dfrac{3}{5}x=\dfrac{6}{14}+\dfrac{8}{14}=\dfrac{14}{14}\\
\Leftrightarrow x=1.\dfrac{5}{3}=\dfrac{5}{3}\\
c)
\left | \dfrac{3}{2}-x \right |=\dfrac{25}{100}=\dfrac{1}{4}\\
\Leftrightarrow {\left[\begin{aligned} \dfrac{3}{2}-x =\dfrac{1}{4}\\ \dfrac{3}{2}-x =-\dfrac{1}{4}\end{aligned}\right.}\\
\Leftrightarrow {\left[\begin{aligned} x =\dfrac{3}{2}-\dfrac{1}{4}\\ x =\dfrac{3}{2}+\dfrac{1}{4}\end{aligned}\right.}\\
\Leftrightarrow {\left[\begin{aligned} x =\dfrac{6}{4}-\dfrac{1}{4}\\ x =\dfrac{6}{4}+\dfrac{1}{4}\end{aligned}\right.}\\
\Leftrightarrow {\left[\begin{aligned} x =\dfrac{5}{4}\\ x =\dfrac{7}{4}\end{aligned}\right.}\\
2)
a)
x+\dfrac{2}{5}=-\dfrac{7}{10}\\
\Leftrightarrow x=\dfrac{-7}{10}-\dfrac{2}{5}\\
\Leftrightarrow x=\dfrac{-7}{10}-\dfrac{4}{10}\\
\Leftrightarrow x=\dfrac{-11}{10}\\
b)
(-4)-2x=(-3).6\\
\Leftrightarrow 2x=-4+18=14\\
\Leftrightarrow x=7\\
c)
\dfrac{2}{3}-\left ( \dfrac{8}{3}-x \right )=-1\\
\Leftrightarrow \dfrac{2}{3}-\dfrac{8}{3}+x =-1\\
\Leftrightarrow \dfrac{-6}{3}+x=-1\\
\Leftrightarrow x=-1+2\\
\Leftrightarrow x=1\\
d)
\dfrac{-3}{4}.\left | x-5 \right |=\dfrac{-9}{2}\\
\Leftrightarrow \left | x-5 \right |=\dfrac{-9}{2}.\dfrac{-4}{3}\\
\Leftrightarrow \left | x-5 \right |=6\\
\Leftrightarrow {\left[\begin{aligned}x-5=6\\x-5=-6\end{aligned}\right.}\\
\Leftrightarrow {\left[\begin{aligned}x=11\\x=-1\end{aligned}\right.}\\$