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-1/2 .x + 2/3 : (-4/5) = 3/5 - 5/6
-1/2.x - 5/6 = -7/30
-1/2.x = -7/30 + 5/6
-1/2.x = 3/5
x = 3/5 : (-1/2)
x = 6/5

Câu 1:
a) \(\frac{3}{2}.\frac{4}{5}-x=\frac{2}{3}\)
\(\frac{6}{5}-x=\frac{2}{3}\)
\(x=\frac{8}{15}\)
b) \(\frac{6}{7}:\frac{1}{2}.\frac{3}{4}-\frac{5}{8}=\frac{37}{56}\)
Câu 2:
Gọi số có hai chữ số cần tìm là: ab
ta có: ab2 = ab + 92
=> a x 100 + b x 10 + 2 = a x 10 + b + 92
=> a x 90 + b x 9 = 90
9 x ( a x 10 + b) = 90
a x 10 + b = 90 : 9
a x 10 + b = 10 = 1 x 10 + 0
=> a = 1; b = 0
KL: ab = 10
Câu 1 :
a) \(\frac{3}{2}\times\frac{4}{5}-x=\frac{2}{3}\)
\(\Rightarrow\frac{6}{5}-x=\frac{2}{3}\)
\(\Rightarrow x=\frac{6}{5}-\frac{2}{3}\)
\(\Rightarrow x=\frac{8}{15}\)
b) Ko rõ đề :)
Câu 2 :
Gọi số cần tìm là \(\overline{ab}\), ta có :
\(\overline{ab2}-\overline{ab}=92\)
\(\Rightarrow\overline{ab}\times10+2-\overline{ab}=92\)
\(\Rightarrow\overline{ab}\times9+2=92\)
\(\Rightarrow\overline{ab}\times9=90\)
\(\Rightarrow\overline{ab}=90:9\)
\(\Rightarrow\overline{ab}=10\)
Học tốt # ^-<

5)
để \(\frac{5x-3}{x+1}\)là số nguyên
\(5x-3⋮x+1\)
\(x+1⋮x+1\)
\(\Rightarrow5\left(x+1\right)⋮x+1\)
\(5x-3-\left(5x-5\right)⋮x+1\)
\(-2⋮x+1\)
\(\Rightarrow x+1\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
x+1 | 1 | -1 | 2 | -2 |
x | 0 | -2 | 1 | -3 |
Vậy \(x\in\left\{0;-2;1;-3\right\}\)

a. \(x-\frac{3}{7}:\frac{9}{14}=-\frac{7}{6}\Rightarrow x-\frac{2}{3}=-\frac{7}{6}\Rightarrow x=-\frac{1}{2}\)
b. \(\frac{3}{4}+\frac{1}{4}x=\frac{5}{8}\Rightarrow\frac{1}{4}x=-\frac{1}{8}\Rightarrow x=-\frac{1}{2}\)
c. \(\left|4x-1\right|-\frac{1}{2}=3\Rightarrow\left|4x-1\right|=\frac{7}{2}\Leftrightarrow\orbr{\begin{cases}4x-1=\frac{7}{2}\\4x-1=-\frac{7}{2}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{9}{8}\\x=-\frac{5}{8}\end{cases}}}\)
d. \(25\%x+x=-1,25\Rightarrow125\%x=-1,25\Rightarrow\frac{5}{4}x=-\frac{5}{4}\Rightarrow x=-1\)

a) \(\frac{x-1}{99}+\frac{x-2}{98}+\frac{x-3}{97}+\frac{x-4}{96}=4\)
\(\Rightarrow\frac{x-1}{99}-1+\frac{x-2}{98}-1+\frac{x-3}{97}-1+\frac{x-3}{96}-1=4-4\)
\(\Rightarrow\frac{x-100}{99}+\frac{x-100}{98}+\frac{x-100}{97}+\frac{x-100}{96}=0\)
\(\Rightarrow\left(x-100\right)\left(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}+\frac{1}{96}\right)=0\)
\(\Rightarrow x-1=0\) ( vì \(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}+\frac{1}{96}\ne0\) )
Vậy x = 1
b) \(\frac{x+1}{99}+\frac{x+2}{98}+\frac{x+3}{97}=3\)
\(\Rightarrow\frac{x+1}{99}+1+\frac{x+2}{98}+1+\frac{x+3}{97}+1=3-3\)
\(\Rightarrow\frac{x+100}{99}+\frac{x+100}{98}+\frac{x+100}{97}=0\)
\(\Rightarrow\left(x+100\right).\left(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}\right)=0\)
Vì \(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}\ne0\)
=> x + 100 = 0
=> x = -100
c) \(\frac{x-1}{99}+\frac{x-2}{49}+\frac{x-4}{32}=6\)
\(\Rightarrow\frac{x-1}{99}-1+\frac{x-2}{49}-2+\frac{x-4}{32}-3=6-6\)
\(\Rightarrow\frac{x-100}{99}+\frac{x-100}{49}+\frac{x-100}{32}=0\)
\(\Rightarrow\left(x-100\right)\left(\frac{1}{99}+\frac{1}{49}+\frac{1}{32}\right)=0\)
Vì \(\frac{1}{99}+\frac{1}{49}+\frac{1}{32}\ne0\)
=> x - 100 = 0
=> x = 100
Chúc bạn học tốt
có người khác trả lời trước rồi nên chị ko trả lời đâu nhé em trai

a) \(\frac{3}{7}-\frac{1}{7}x=\frac{2}{3}\)
=> \(\frac{1}{7}x=\frac{3}{7}-\frac{2}{3}=-\frac{5}{21}\)
=> \(x=-\frac{5}{21}:\frac{1}{7}=-\frac{5}{21}\cdot7=-\frac{5}{3}\)
b) \(3x^2-2=72\)=> 3x2 = 74 => x2 = 74/3 => x không thỏa mãn
c) \(\left(19x+2\cdot5^2\right):14=\left(13-8\right)^2-4^2\)
=> \(\left(19x+2\cdot25\right):14=5^2-4^2=9\)
=> \(\left(19x+50\right):14=9\)
=> \(19x+50=126\)
=> \(19x=76\)
=> x = 4
d) \(x:\frac{1}{2}+x:\frac{1}{4}+x:\frac{1}{8}+x:\frac{1}{16}+x:\frac{1}{32}=343\)
=> \(x\cdot2+x\cdot4+x\cdot8+x\cdot16+x\cdot32=343\)
=> \(x\left(2+4+8+16+32\right)=343\)
=> x . 62 = 343
=> x = 343/62

X + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + ( -6 ) = 500
X + 49 = 500
X = 500 - 49
X = 451
k minh nhe minh tra loi nhanh nhat , dung nhat va day du nhat

a: 9-25=7-x-(25+7)
=>7-x-25-7=-16
=>-x-25=-16
=>x+25=16
hay x=-9
b: \(10+2\left|x\right|=2\cdot\left(3^2-1\right)\)
\(\Leftrightarrow2\left|x\right|=2\cdot8-10=6\)
=>x=3 hoặc x=-3
c: -6x=18
nên x=18:(-6)=-3

\(a,x\left(4-y\right)=3\)
\(\Rightarrow x;4-y\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
Tự lập bảng ...
\(b,\left(x-1\right)\left(5-y\right)=7\)
\(Th1:x-1=7\Leftrightarrow x=8\)
\(5-y=1\Leftrightarrow y=4\)
\(Th2:x-1=1\Leftrightarrow x=2\)
\(5-y=7\Leftrightarrow x=-2\)
\(Th3:x-1=-7\Leftrightarrow x=-6\)
\(5-y=-1\Leftrightarrow y=6\)
\(Th4:x-1=-1\Leftrightarrow x=0\)
\(5-y=-7\Leftrightarrow x=12\)
\(c,\left(xy-3\right)\left(x+2\right)=-5\)
\(\Rightarrow xy-3;x+2\inƯ\left(-5\right)=\left\{\pm1;\pm5\right\}\)
Tự lập bảng ...
a) Xét \(Ư\left(3\right)=1;3;-1;-3\Leftrightarrow x\left(4-y\right)=3\) có bốn trường hợp
\(TH1:x=1\Leftrightarrow\left(4-y\right)=3\Rightarrow y=4-3=1\)
\(TH2:x=3\Rightarrow\left(4-y\right)=1\Leftrightarrow y=4-1=3\)
\(TH3:x=-1\Rightarrow\left(4-y\right)=-3\Leftrightarrow y=4-\left(-3\right)=7\)
\(TH4:x=-3\Rightarrow\left(4-y\right)=-1\Leftrightarrow y=4-\left(-1\right)=5\)
b) Xét \(Ư\left(7\right)=1;7;-1;-7\Rightarrow\left(x-1\right)\left(5-7\right)\) có bốn trường hợp
\(TH1:x-1=1\Leftrightarrow x=1+1=2\Rightarrow\left(5-y\right)=7\Leftrightarrow v=5-7=-2\)
\(TH2:x-1=7\Leftrightarrow x=7+1=8\Rightarrow\left(5-y\right)=1\Leftrightarrow y=5-1=4\)
\(TH3:x-1=-1\Leftrightarrow x=0\Rightarrow\left(5-y\right)=-7\Leftrightarrow v=12\)
\(TH4:x-1=-7\Leftrightarrow x=-6\Rightarrow\left(5-y\right)=-1\Leftrightarrow y=6\)
Chứng minh tương tự với trường hợp c
\(\dfrac{x-2}{3}=\dfrac{x+1}{4}\\ \Rightarrow\dfrac{4\left(x-2\right)}{12}=\dfrac{3\left(x+1\right)}{12}\\ \Rightarrow4x-8=3x+3\\ \Rightarrow x=11\)
\(\dfrac{x-2}{3}=\dfrac{x+1}{4}\\ \Rightarrow\left(x-2\right)\cdot4=\left(x+1\right)\cdot3\\ \Rightarrow4x-8=3x+3\\ \Rightarrow4x-3x=-8+3\\ \Rightarrow x=-5\)