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\(\frac{x}{2}-\frac{11}{5}=\frac{7}{5}.\frac{64}{49}\)
\(\frac{x}{2}-\frac{11}{5}=\frac{64}{35}\)
\(\frac{x}{2}=\frac{64}{35}+\frac{11}{5}\)
\(\frac{x}{2}=\frac{141}{35}\)
\(\Leftrightarrow x.35=2.141\)
\(\Leftrightarrow x.35=282\)
\(\Leftrightarrow x=282:35\)
\(\Leftrightarrow x=\frac{282}{35}\)
x/2 - 11/5 = 7/5.64/49
=> x/2 - 11/5 = 64/35
=> x/2 = 64/35 + 11/5
=> x/2 = 141/35
=> 35x = 2.141
=> 35x = 282
=> x = 282 : 35 = 282/35
1/4 + 1/3 : (2x - 1) = -5
=> 1/3 : (2x - 1) = -21/4
=> 2x - 1 = -63/4
=> 2x = -59/4
=> x = -59/8
\(\frac{1}{4}+\frac{1}{3}:\left(2x-1\right)=-5\)
\(\frac{1}{3}:\left(2x-1\right)=\left(-5\right)-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=\frac{-21}{4}\)
\(2x-1=\frac{1}{3}:\frac{-21}{4}\)
\(2x-1=\frac{-4}{63}\)
\(2x=\frac{-4}{63}+1\)
\(2x=\frac{59}{63}\)
\(x=\frac{59}{63}:2\)
\(x=\frac{59}{126}\)
12x+3.23=23.x-4.32
12x+3.8=8.x-4.9
12x+24=8x-36
12x-8x=36-24
4x=12
x=12:4=3
a) 2. |1/2-1/3| - 3/2 =1/4 b)3/4-2.|2x-3/2|=2
2.|1/2-1/3|=1/4+3/2 2|2x-3/2|=3/4-2
2.|1/2-1/3|=2/8+12/8 2|2x-3/2|=-5/4
2.|1/2x-1/3|=14/8 |2x-3/2|=-5/4:2
|1/2x-1/3|=14/8:2 |2x-3/2|=-5/8
1/2x-1/3=14/8.2/1 x-3/2=-5/8:2
1/2x-1/3=14/4 x-3/2=-5/16
x-1/3=14/4:1/2 x=-5/16+3/2
x-1/3=14/4.2 x=19/16
x-1/3=7 => x= 19/16 hoặc -19/16
x=7+1/3
x=21/3+1/3
x=22/3
=>x= 22/3 hoăc -22/3
c
\(\frac{4}{3}B=-1+\frac{3}{4}-\left(\frac{3}{4}\right)^2+...+\left(\frac{3}{4}\right)^{99}\)
\(B=-\frac{3}{4}+\left(\frac{3}{4}\right)^2-\left(\frac{3}{4}\right)^3+...+\left(\frac{3}{4}\right)^{100}\)
\(\Rightarrow\)\(\frac{7}{3}B=-1+\left(\frac{3}{4}\right)^{100}\Rightarrow B=\frac{\left(\frac{3}{4}\right)^{100}-1}{\frac{7}{3}}=\frac{3\left[\left(\frac{3}{4}\right)^{100}-1\right]}{7}\)
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\(\left(\frac{14}{5}x-50\right)\div\frac{2}{3}=51\)
\(\Leftrightarrow\frac{14}{5}x-50=51\times\frac{2}{3}\)
\(\Leftrightarrow\frac{14}{5}x-50=34\)
\(\Leftrightarrow\frac{14}{5}x=34+50\)
\(\Leftrightarrow\frac{14}{5}x=84\)
\(\Leftrightarrow x=84\div\frac{14}{5}\)
\(\Leftrightarrow x=84\times\frac{5}{14}\)
\(\Leftrightarrow x=30\)
\(\left(\frac{14}{5}.x-50\right):\frac{2}{3}=51\)
\(\frac{14}{5}.x-50=51.\frac{2}{3}\)
\(\frac{14}{5}.x-50=34\)
\(\frac{14}{5}.x=34+50\)
\(\frac{14}{5}.x=84\)
\(x=84:\frac{14}{5}\)
\(x=30\)