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\(\Leftrightarrow21=2yx-y\Leftrightarrow y\left(2x-1\right)=21\)
\(y=2xy-21\)
\(\Rightarrow2xy-y=21\)
\(\Rightarrow\left(2x-1\right)y=21\)
k nha
hok tốt
\(\frac{-1}{24}-\left[\frac{1}{4}-\left(\frac{1}{2}-\frac{7}{8}\right)\right]\)
\(\frac{-1}{24}-\left(\frac{1}{4}+\frac{3}{8}\right)\)
\(\frac{-1}{24}-\frac{5}{8}\)
\(\frac{-2}{3}\)
\(-\frac{1}{24}-\left[\frac{1}{4}-\left(\frac{1}{2}-\frac{7}{8}\right)\right]\)
\(=-\frac{1}{24}-\left(\frac{1}{4}-\frac{1}{2}+\frac{7}{8}\right)\)
\(=-\frac{1}{24}-\frac{5}{8}\)
\(=-\frac{1}{24}-\frac{15}{24}\)
\(=-\frac{16}{24}=-\frac{2}{3}\)
a) Theo đề bài : ab = 3ab
\(\Rightarrow\) 10a + b = 3ab
\(\Rightarrow\) 10a + b chia hết cho a
\(\Rightarrow\)bchia hết cho a
3:
\(6a+11b-6\left(a+7b\right)\)
\(=6a+11b-6a-42b=-31b⋮31\)
Ta có: \(\left(6a+11b\right)-6\left(a+7b\right)⋮31\)
\(6a+11b⋮31\)
Do đó: \(6\left(a+7b\right)⋮31\)
=>\(a+7b⋮31\)
Ta có: \(\left(6a+11b\right)-6\left(a+7b\right)⋮31\)
\(a+7b⋮31\)
Do đó: \(6a+11b⋮31\)
4:
\(5a+2b⋮17\)
=>\(12\left(5a+2b\right)⋮17\)
=>\(60a+24b⋮17\)
=>\(51a+17b+9a+7b⋮17\)
=>\(17\left(3a+b\right)+\left(9a+7b\right)⋮17\)
mà \(17\left(3a+b\right)⋮17\)
nên \(9a+7b⋮17\)
1.A= 1.2.3+2.3.4+...+29.30.31+x=15
\(4A=1.2.3.4+2.3.4.\left(5-1\right)+...+29.30.31.\left(32-28\right)+4x=60\)
\(\Rightarrow4A=1.2.3.4+2.3.4.5-1.2.3.4+...+29.30.31.32-28.29.30.31+4x=60\)
Từ đó suy ra nha bạn
2.\(\frac{2}{2.3}+\frac{2}{3.4}+...+\frac{2}{x\left(x+1\right)}=\frac{2007}{2009}\)
\(=\frac{2}{2\left(2+1\right)}+\frac{2}{3.\left(3+1\right)}+...+\frac{2}{x\left(x+1\right)}=\frac{2007}{2009}\)
\(=2.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2007}{2009}\)
\(=2.\left(\frac{1}{2}-\frac{1}{x+1}\right)=\frac{2007}{2009}\\ =1-\frac{2}{\left(x+1\right)}=\frac{2007}{2009}\)
\(\Rightarrow\frac{2}{x+1}=\frac{2}{2009}\Rightarrow x+1=2009\Rightarrow x=2008\)
\(2-4+6-8+....+48-50\)
\(=\left(2-4\right)+\left(6-8\right)+...+\left(48-50\right)\)
\(=\left(-2\right)+\left(-2\right)+....+\left(-2\right)\)( 25 thừa số )
\(=\left(-2\right).25\)
\(=-50\)
Gọi: S=2-4+6-8+.....+48-50
=> 2S = (2-4+6-8+......+48-50)+(2-4+6-8+.........+48-50)
=(-2)+(-2)+(-2)+...........+(-2)+(-2) [25 số -2]
=(-2)x25
=-50
=> S = -25
Vậy ,,,,,,,,,,,,,,,,,,,,,,,,
chia 2 trường hợp nha bạn
|3x-2|=7
<=> 3x-2=-7 hoặc 3x-2=7
<=> 3x=-5 hoặc 3x=9
<=> x=-5/3 hoặc x=3