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1)
a) \(89-\left(73-x\right)=20\)
\(\Leftrightarrow73-x=89-20\)
\(\Leftrightarrow73-x=69\)
\(\Leftrightarrow x=73-69\)
\(\Leftrightarrow x=4\)
Vậy \(x=4\)
b) \(\left(x+7\right)-25=13\)
\(\Leftrightarrow x+7=13+25\)
\(\Leftrightarrow x+7=38\)
\(\Leftrightarrow x=38-7\)
\(\Leftrightarrow x=31\)
Vậy \(x=31\)
c) \(140:\left(x-8\right)=7\)
\(\Leftrightarrow x-8=140:7\)
\(\Leftrightarrow x-8=20\)
\(\Leftrightarrow x=20+8\)
\(\Leftrightarrow x=28\)
Vậy \(x=28\)
d) \(6x+x=5^{11}:5^9+3^1\)
\(\Leftrightarrow7x=5^{11}:5^9+3^1\)
\(\Leftrightarrow7x=5^{11-9}+3^1\)
\(\Leftrightarrow7x=5^2+3^1\)
\(\Leftrightarrow7x=25+3\)
\(\Leftrightarrow7x=28\)
\(\Leftrightarrow x=28:7\)
\(\Leftrightarrow x=4\)
Vậy \(x=4\)
e) \(4^x=64\)
\(\Leftrightarrow4^x=4^3\)
\(\Leftrightarrow x=3\)
Vậy \(x=3\)
g) \(9^{x-1}=9\)
\(\Leftrightarrow9^{x-1}=9^1\)
\(\Leftrightarrow x-1=1\)
\(\Leftrightarrow x=1+1\)
\(\Leftrightarrow x=2\)
Vậy \(x=2\)
a: \(=\dfrac{-3}{7}\left(\dfrac{5}{9}+\dfrac{4}{9}\right)+2+\dfrac{3}{7}=2\)
b: \(=-\dfrac{5}{7}:\left(24-\dfrac{166}{7}\right)+\dfrac{37}{3}\)
\(=-\dfrac{5}{7}:\dfrac{2}{7}+\dfrac{37}{3}=\dfrac{-5}{2}+\dfrac{37}{3}=\dfrac{59}{6}\)
c: \(=4-\dfrac{32}{27}\cdot\dfrac{-27}{8}=4+4=8\)
d: \(=\dfrac{28}{15}\cdot\dfrac{3}{4}-\dfrac{11+5}{20}\cdot\dfrac{5}{7}\)
\(=\dfrac{7}{5}-\dfrac{6}{20}\cdot\dfrac{5}{7}=\dfrac{29}{35}\)
a: =>25-4x=1
=>4x=24
hay x=6
b: =>2x-4=0
hay x=2
c: =>x-35=115
hay x=150
d: =>x-2=12
hay x=14
e: =>x-36=216
hay x=252
a/ \(\frac{15}{x}-\frac{1}{3}=\frac{28}{51}\)
\(\frac{15}{x}=\frac{28}{51}+\frac{1}{3}\)
\(\frac{15}{x}=\frac{15}{17}\)
\(x=15:\frac{15}{17}\)
\(x=17\)
b) \(\frac{x}{20}-\frac{2}{5}=10\)
\(\frac{x}{20}=10+\frac{2}{5}\)
\(\frac{x}{20}=\frac{52}{5}\)
\(x=\frac{52}{5}\cdot20\)
\(x=208\)
c) \(x+\frac{18}{23}=2\frac{1}{3}\)
\(x+\frac{18}{23}=\frac{7}{3}\)
\(x=\frac{7}{3}-\frac{18}{23}\)
\(x=\frac{107}{69}\)
d) \(\frac{7}{11}< x-\frac{1}{7}< \frac{10}{13}\)
\(\Rightarrow\frac{7}{11}+\frac{1}{7}< x< \frac{10}{13}\)
\(\frac{60}{77}< x< \frac{60}{78}\)
Đến đây .....bí!
e) Tớ bỏ luôn đc ko.
D) 7/11<X-1/7<10/13
<=> 7/11+1/7<x< 10/13+1/7
<=> 60/77< x< 83/91
<=> 5460/1001 <x< 6391/1001
vậy X thuộc tập hợp các phÂN số lớn hơn 5460/1001 và bé hơn 913/1001
vd : Y/1001 trong đó y là 5461;5462;5463...6389;6390
Bài 2:
a: \(=248+2064-12-236\)
\(=12-12+2064=2064\)
b: \(=-298-302-300=-600-300=-900\)
c: \(=5-7+9-11+13-15=-2-2-2=-6\)
d: \(=456+58-456-38=20\)