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a) \(\dfrac{5}{24}+x=\dfrac{7}{12}\)
<=> \(x=\dfrac{7}{12}-\dfrac{5}{24}=\dfrac{14}{24}-\dfrac{5}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)
b) \(x-\dfrac{3}{4}=\dfrac{1}{2}\)
<=> \(x=\dfrac{1}{2}+\dfrac{3}{4}=\dfrac{2}{4}+\dfrac{3}{4}=\dfrac{5}{4}\)
c) bn ghi rõ đề chút
( 2 x y + 2/15 ) x 3 = 4/5
( 2 x y + 2/15 ) = 4/5 : 3
( 2 x y + 2/15 ) = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 :2
y = 1/15
(2 x y + 2/15) x 3 = 4/5
2 x y + 2/15) = 4/5 : 3
2 x y + 2/15 = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 : 2
y = 1/15
7/9 x (2 - 1/3 x y) = 14/15
(2 - 1/3 x y) = 14/15 : 7/9
(2 - 1/3 x y) = 6/5
2 - y = 6/5 x 1/3
2 - y = 2/5
y = 2/5 + 2
y = 12/5
4/21 + 5 x y - 8/7 = 1/3
4/21 + 5 x y = 1/3 + 8/7
4/21 + 5 x y = 31/21
5 x y = 31/21 - 4/21
5 x y = 9/7
y = 9/7 : 5
y = 9/35
7/12 x y - 3/12 x y = 5
y x (7/12 - 3/12) = 5
y x 1/3 = 5
y = 5 : 1/3
y = 15
a) 3/8 . x = 9/8 - 1
3/8 . x = 1/8
x = 1/8 : 3/8
x = 1/3
b) 4/5 . x = 7/5 - 1/5
4/5 . x = 6/5
x = 6/5 : 4/5
x = 3/2
c) 12/7 : x + 2/3 = 7/5
12/7 : x = 7/5 - 2/3
12/7 : x = 11/15
x = 12/7 : 11/15
x = 180/77
d) 3.(x + 7) - 15 = 27
3.(x + 7) = 27 + 15
3.(x + 7) = 42
x + 7 = 42 : 3
x + 7 = 14
x = 14 - 7
x = 7
a) \(\dfrac{3}{8}x=\dfrac{9}{8}-1\)
\(\Rightarrow\dfrac{3}{8}x=\dfrac{1}{8}\)
\(\Rightarrow x=\dfrac{1}{8}:\dfrac{3}{8}=\dfrac{1}{3}\)
b) \(\dfrac{4}{5}x=\dfrac{7}{5}-\dfrac{1}{5}\)
\(\Rightarrow\dfrac{4}{5}x=\dfrac{6}{5}\)
\(\Rightarrow x=\dfrac{6}{5}:\dfrac{4}{5}=\dfrac{3}{2}\)
c) \(\dfrac{12}{7}:x+\dfrac{2}{3}=\dfrac{7}{5}\)
\(\Rightarrow\dfrac{12}{7}:x=\dfrac{7}{5}-\dfrac{2}{3}\)
\(\Rightarrow\dfrac{12}{7}:x=\dfrac{11}{15}\)
\(\Rightarrow x=\dfrac{12}{7}:\dfrac{11}{15}=\dfrac{180}{77}\)
d) \(3\left(x+7\right)-15=27\)
\(\Leftrightarrow3\left(x+7\right)=42\)
\(\Leftrightarrow x+7=14\Leftrightarrow x=7\)
a.
\(\frac{5}{24}+x=\frac{7}{12}\)
\(x=\frac{7}{12}-\frac{5}{24}\)
\(x=\frac{3}{8}\)
b.
\(x-\frac{3}{4}=\frac{1}{2}\)
\(x=\frac{1}{2}+\frac{3}{4}\)
\(x=\frac{5}{4}\)
Trả lời:
a, \(\frac{5}{24}+x=\frac{7}{12}\)
\(\Rightarrow x=\frac{7}{12}-\frac{5}{24}\)
\(\Rightarrow x=\frac{3}{8}\)
b, \(x-\frac{3}{4}=\frac{1}{2}\)
\(\Rightarrow x=\frac{1}{2}+\frac{3}{4}\)
\(\Rightarrow x=\frac{5}{4}\)
c, \(\left(\frac{2}{7}x+\frac{3}{7}\right)\div2\frac{1}{5}-\frac{3}{7}=1\)
\(\Rightarrow\left(\frac{2}{7}x+\frac{3}{7}\right)\div\frac{11}{5}-\frac{3}{7}=1\)
\(\Rightarrow\left(\frac{2}{7}x+\frac{3}{7}\right)\div\frac{11}{5}=1+\frac{3}{7}\)
\(\Rightarrow\left(\frac{2}{7}x+\frac{3}{7}\right).\frac{5}{11}=\frac{10}{7}\)
\(\Rightarrow\frac{2}{7}x+\frac{3}{7}=\frac{10}{7}\div\frac{5}{11}\)
\(\Rightarrow\frac{2}{7}x+\frac{3}{7}=\frac{22}{7}\)
\(\Rightarrow\frac{2}{7}x=\frac{22}{7}-\frac{3}{7}\)
\(\Rightarrow\frac{2}{7}x=\frac{19}{7}\)
\(\Rightarrow x=\frac{19}{7}\div\frac{2}{7}\)
\(\Rightarrow x=\frac{19}{2}\)
6: =>x=9/10+1/5=9/10+2/10=11/10
7: =>x=3/8-5/12=36/96-40/96=-1/24
8: =>x=7/6-5/4=14/12-15/12=-1/12
9: =>x=1/35+2/7=1/35+10/35=11/35
10: =>x=2/7-7/10=20/70-49/70=-29/70
\(PT\Leftrightarrow\left(x-2\right).\left(x+7\right)=\left(x+9\right).\left(x-1\right)\)
\(\Leftrightarrow x^2+5x-14=x^2+8x-9\)
\(\Leftrightarrow-3x=5\)
\(\Leftrightarrow x=\frac{-5}{3}\left(TMĐK\right)\)
\(\frac{x-2}{x-1}=\frac{x+9}{x+7}\)
=> \(\frac{\left(x-1\right)-1}{x-1}=\frac{\left(x+7\right)+2}{x+7}\)
=> \(1-\frac{1}{x-1}=1+\frac{2}{x+7}\)
=> \(-\frac{1}{x-1}=\frac{2}{x+7}\)
=> \(-1.\left(x+7\right)=2\left(x-1\right)\)
=> \(-x-7=2x-2\)
=> \(-x-2x=-2+7\)
=> \(-3x=5\)
=> \(x=5:\left(-3\right)=-\frac{5}{3}\)
\(3\cdot\left(\dfrac{1}{2}-x\right)-5\left(x-\dfrac{1}{10}\right)=-\dfrac{7}{4}\\ \Leftrightarrow-8x=-\dfrac{15}{4}\\ \Leftrightarrow x=\dfrac{15}{32}\)
\(4\left(\dfrac{3}{4}+x\right)-\dfrac{1}{5}=7x-\dfrac{1}{7}\\ \Leftrightarrow3x=\dfrac{103}{35}\\ \Leftrightarrow x=\dfrac{103}{105}\)
\(3\left(\dfrac{1}{2}-x\right)-5\left(x-\dfrac{1}{10}\right)=-\dfrac{7}{4}\)
\(\Rightarrow\dfrac{3}{2}-3x-5x+\dfrac{1}{2}=-\dfrac{7}{4}\)
\(\Rightarrow2-8x=-\dfrac{7}{4}\)
\(\Rightarrow8x=2+\dfrac{7}{4}\)
\(\Rightarrow8x=\dfrac{15}{4}\)
\(\Rightarrow x=\dfrac{15}{32}\)
___________
\(4\left(\dfrac{3}{4}+x\right)-\dfrac{1}{5}=7x-\dfrac{1}{7}\)
\(\Rightarrow3+4x-\dfrac{1}{5}=7x-\dfrac{1}{7}\)
\(\Rightarrow4x+\dfrac{14}{5}=7x-\dfrac{1}{7}\)
\(\Rightarrow7x-4x=\dfrac{14}{5}+\dfrac{1}{7}\)
\(\Rightarrow3x=\dfrac{103}{35}\)
\(\Rightarrow x=\dfrac{103}{105}\)
1: =>x=-5/3-1/2=-13/6
2: =>x=1/3-3/5=-4/15
4: =>x=-7/9+4/3=-7/9+12/9=5/9
5: =>x=5/6-7/3=5/6-14/6=-9/6=-3/2
6: =>x=9/10+1/5=11/10
7: =>x=3/8-5/12=36/96-40/96=-1/24
8: Đề sai rồi bạn
`-2/5 : x=1/2`
`=> x= -2/5 : 1/2`
`=> x= -2/5 xx 2`
`=>x= -4/5`
__
`7/6 : x = 7/4`
`=>x= 7/6 : 7/4`
`=>x=7/6 xx 4/7`
`=>x= 28/42`
`=>x=2/3`