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xin sua cho tôi học giỏi toán nhe
5-2/3x:1/7=23/6
2/3x:1/7=5-23/6
2/3x*7=7/6
2/3x=7/6:7
2/3x=1/6
den day la dung roi
2/3x=2/12=1/6 (vut phan gach ngang di)
Con 3x=12=>x=4
D/S:x=4
5-2/3x:1/7=23/6
2/3x:1/7=5-23/6
2/3x*7=7/6
2/3x=7/6:7
2/3x=1/6
x=1/6:2/3
x=1/4
a. \(\dfrac{5}{7}+\dfrac{4}{3}:x=\dfrac{1}{7}\)
<=> \(\dfrac{5}{7}+\dfrac{4}{3}.\dfrac{1}{x}=\dfrac{1}{7}\)
<=> \(\dfrac{5}{7}+\dfrac{4}{3x}=\dfrac{1}{7}\) ĐKXĐ: x \(\ne\) 0
<=> \(\dfrac{15x}{21x}+\dfrac{28}{21x}=\dfrac{3x}{21x}\)
<=> 15x + 28 = 3x
<=> 15x - 3x = -28
<=> 12x = -28
<=> x = \(\dfrac{-28}{12}=-\dfrac{7}{3}\)
b. \(\dfrac{5}{3}x.\dfrac{-1}{4}=\dfrac{2}{6}\)
<=> \(\dfrac{-5x}{12}=\dfrac{2}{6}\)
<=> -5x . 6 = 12 . 2
<=> -30x = 24
<=> x = \(-\dfrac{4}{5}\)
b/ x + (x + 1) + (x + 2) + .... + (x + 30) = 1240
x + (x + x + ....+ x) + (1 + 2 + ... + 30) = 1240
x + 30x + 465 = 1240
31x = 1240 - 465
31x = 775
=> x = 775 : 31 = 25
c/ Sửa đề (x + 4) + (x + 6) + (x + 8) + .... + (x + 26) = 210
(x + x + x + .... + x) + (4 + 6 + 8 + .... + 26) = 210
12x + 180 = 210
12x = 210 - 180 = 30
=> x = 30 : 12 = 2,5
\(x-2.5=\frac{1}{3}+\frac{2x}{3}\)
\(\Leftrightarrow\frac{3\left(x-2,5\right)}{3}=\frac{2x+1}{3}\)
\(\Leftrightarrow3x-7,5=2x+1\)
\(\Leftrightarrow x=8,5\)
A.\(\left(\frac{4}{7}.x-1\right).3=\frac{1}{21}\)
\(\frac{4}{7}.x-1=\frac{1}{21}:3\)
\(\frac{4}{7}.x-1=\frac{1}{21}.3\)
\(\frac{4}{7}.x-1=\frac{1}{7}\)
\(\frac{4}{7}.x=1+\frac{1}{7}\)
\(\frac{4}{7}.x=\frac{8}{7}\)
\(x=\frac{8}{7}:\frac{4}{7}\)
\(x=\frac{8}{7}.\frac{7}{4}\)
\(x=2\)
Vậy x=2
C.\(\frac{2}{3}.x-\frac{1}{3}.x=\frac{5}{9}\)
\(\left(\frac{2}{3}-\frac{1}{3}\right).x=\frac{5}{9}\)
\(\frac{1}{3}.x=\frac{5}{9}\)
\(x=\frac{5}{9}:\frac{1}{3}\)
\(x=\frac{5}{9}.3\)
\(x=\frac{5}{3}\)
Vậy \(x=\frac{5}{3}\)
D. \(\left(x-2\frac{1}{4}\right).\left(\frac{-2}{3}\right).50\%=2\frac{5}{6}\)
\(x.\frac{-2}{3}-\frac{9}{4}.\frac{-2}{3}=\frac{17}{6}:\frac{1}{2}\)
\(x.\frac{-2}{3}-\frac{-3}{2}=\frac{17}{6}.2\)
\(x.\frac{-2}{3}+\frac{3}{2}=\frac{17}{3}\)
\(x.\frac{-2}{3}=\frac{17}{3}-\frac{3}{2}\)
\(x.\frac{-2}{3}=\frac{34}{6}-\frac{9}{6}\)
\(x.\frac{-2}{3}=\frac{25}{6}\)
\(x=\frac{25}{6}:\frac{-2}{3}\)
\(x=\frac{25}{6}.\frac{3}{-2}\)
\(x=\frac{25}{-4}\)
Vậy \(x=\frac{25}{-4}\)
(x + 1) + (x + 2) + ... + (x + 100) = 102x
x + x + x + ... + x + 1 + 2 + ... + 100 = 102x
100x + (100 + 1) x 100 : 2 = 102x
102x - 100x = 5050
2x = 5050
x = 2525
Ta có :
\(\frac{x+1}{100}+\frac{x+2}{99}=\frac{x+3}{98}+\frac{x+4}{97}\)
\(\Leftrightarrow\)\(\left(\frac{x+1}{100}+1\right)+\left(\frac{x+2}{99}+1\right)=\left(\frac{x+3}{98}+1\right)+\left(\frac{x+4}{97}+1\right)\)
\(\Leftrightarrow\)\(\frac{x+101}{100}+\frac{x+101}{99}=\frac{x+101}{98}+\frac{x+101}{97}\)
\(\Leftrightarrow\)\(\frac{x+101}{100}+\frac{x+101}{99}-\frac{x+101}{98}-\frac{x+101}{97}=0\)
\(\Leftrightarrow\)\(\left(x+101\right)\left(\frac{1}{100}+\frac{1}{99}-\frac{1}{98}-\frac{1}{97}\right)=0\)
Vì \(\frac{1}{100}+\frac{1}{99}-\frac{1}{98}-\frac{1}{97}\ne0\)
Nên \(x+101=0\)
\(\Rightarrow\)\(x=-101\)
Vậy \(x=-101\)
Chúc bạn học tốt ~