Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Bài 1:
a; \(\dfrac{7}{8}\) + \(x\) = \(\dfrac{4}{7}\)
\(x\) = \(\dfrac{4}{7}\) - \(\dfrac{7}{8}\)
\(x\) = \(\dfrac{32}{56}\) - \(\dfrac{49}{56}\)
\(x=-\) \(\dfrac{49}{56}\)
Vậy \(x=-\dfrac{49}{56}\)
b; 6 - \(x\) = - \(\dfrac{3}{4}\)
\(x\) = 6 + \(\dfrac{3}{4}\)
\(x\) = \(\dfrac{24}{4}+\dfrac{3}{4}\)
\(x=\dfrac{27}{4}\)
Vậy \(x=\dfrac{27}{4}\)
c; \(\dfrac{1}{-5}\) + \(x\) = \(\dfrac{3}{4}\)
\(x\) = \(\dfrac{3}{4}\) + \(\dfrac{1}{5}\)
\(x=\dfrac{15}{20}\) + \(\dfrac{4}{20}\)
\(x=\dfrac{19}{20}\)
Vậy \(x=\dfrac{19}{20}\)
Bài 1:
d; - 6 - \(x\) = - \(\dfrac{3}{5}\)
\(x\) = - 6 + \(\dfrac{3}{5}\)
\(x=-\dfrac{30}{5}\) + \(\dfrac{3}{5}\)
\(x=-\dfrac{27}{5}\)
Vậy \(x=-\dfrac{27}{5}\)
e; - \(\dfrac{2}{6}\) + \(x\) = \(\dfrac{5}{7}\)
\(x\) = \(\dfrac{5}{7}\) + \(\dfrac{2}{6}\)
\(x\) = \(\dfrac{15}{21}\) + \(\dfrac{1}{3}\)
\(x=\dfrac{15}{21}\) + \(\dfrac{7}{21}\)
\(x=\dfrac{22}{21}\)
Vậy \(x=\dfrac{22}{21}\)
f; - 8 - \(x\) = - \(\dfrac{5}{3}\)
\(x\) = \(-\dfrac{5}{3}\) + 8
\(x\) = \(\dfrac{-5}{3}\) + \(\dfrac{24}{3}\)
\(x\) = \(\dfrac{-19}{3}\)
Vậy \(x=-\dfrac{19}{3}\)
* Trả lời:
\(\left(1\right)\) \(-3\left(1-2x\right)-4\left(1+3x\right)=-5x+5\)
\(\Leftrightarrow-3+6x-4-12x=-5x+5\)
\(\Leftrightarrow6x-12x+5x=3+4+5\)
\(\Leftrightarrow x=12\)
\(\left(2\right)\) \(3\left(2x-5\right)-6\left(1-4x\right)=-3x+7\)
\(\Leftrightarrow6x-15-6+24x=-3x+7\)
\(\Leftrightarrow6x+24x+3x=15+6+7\)
\(\Leftrightarrow33x=28\)
\(\Leftrightarrow x=\dfrac{28}{33}\)
\(\left(3\right)\) \(\left(1-3x\right)-2\left(3x-6\right)=-4x-5\)
\(\Leftrightarrow1-3x-6x+12=-4x-5\)
\(\Leftrightarrow-3x-6x+4x=-1-12-5\)
\(\Leftrightarrow-5x=-18\)
\(\Leftrightarrow x=\dfrac{18}{5}\)
\(\left(4\right)\) \(x\left(4x-3\right)-2x\left(2x-1\right)=5x-7\)
\(\Leftrightarrow4x^2-3x-4x^2+2x=5x-7\)
\(\Leftrightarrow-x-5x=-7\)
\(\Leftrightarrow-6x=-7\)
\(\Leftrightarrow x=\dfrac{7}{6}\)
\(\left(5\right)\) \(3x\left(2x-1\right)-6x\left(x+2\right)=-3x+4\)
\(\Leftrightarrow6x^2-3x-6x^2-12x=-3x+4\)
\(\Leftrightarrow-15x+3x=4\)
\(\Leftrightarrow-12x=4\)
\(\Leftrightarrow x=-\dfrac{1}{3}\)
a: =>|5/4x-7/2|=|5/8x+3/5|
=>5/4x-7/2=5/8x+3/5 hoặc 5/4x-7/2=-5/8x-3/5
=>5/8x=41/10 hoặc 15/8x=29/10
=>x=164/25 hoặc x=116/75
b: =>3:|x/4-2/3|=6-21/5=9/5
=>|1/4x-2/3|=5/3
=>1/4x-2/3=5/3 hoặc 1/4x-2/3=-5/3
=>1/4x=7/3 hoặc 1/4x=-1
=>x=28/3 hoặc x=-4
c: \(\Leftrightarrow\left\{{}\begin{matrix}x>=0\\\left(2x-x-9\right)\left(2x+x+9\right)=0\end{matrix}\right.\Leftrightarrow x=9\)
e: =>|2x-7|=2x-7
=>2x-7>=0
=>x>=7/2
a)\(-\frac{3}{2}-2x+\frac{3}{4}=2\)
\(\Leftrightarrow-2x=2+\frac{3}{2}-\frac{3}{4}=\frac{11}{4}\)
\(\Leftrightarrow x=\frac{11}{4}:\left(-2\right)=-\frac{11}{8}\)
b , pt <=> \(\frac{x}{2}-\frac{3x}{5}+\frac{13}{5}=-\frac{7}{5}-\frac{7}{10}x\) <=> \(\frac{3}{5}x\) = -4 <=> x = \(\frac{-20}{3}\)
c , \(\frac{2}{3x}-\frac{3}{12}\) = \(\frac{4}{5}-\left(\frac{7}{x}-x\right)\) (ĐK : x khác 0 )
<=> \(\frac{23}{3x}\) - x =\(\frac{21}{20}\) <=>\(-3x^2-\frac{21}{20}.3x+23=0\Leftrightarrow\left[{}\begin{matrix}x=\\x=\end{matrix}\right.\)...
7) | 1/4x - 3/4| = 4/ 5 x- 2/5
Th1:
1/4x - 3/4 = 4/ 5 x- 2/5
1/4x - 4/5x = -2/5 + 3/4
-11/20x = 7/20
x= -7/11
Th2:
1/4x - 3/4 = -(4/ 5 x- 2/5)
1/4x + 4/5x = 3/4 + 2/5
21/20x = 23/20
x= 23/21
Vậy...
8) | 2x-1| =x
Th1:
2x -1 = x
x= 1
Th2:
2x -1 = -x
3x = 1
x= 1/3
Vậy...
9) | x+ 2| = 2x
Th1:
x+2 = 2x
x= 2
Th2:
x+2 = -2x
3x =2
x= 2/3
Vậy...
7) | 1/4x - 3/4| = 4/ 5 x- 2/5
Th1:
1/4x -3/4 = 4/5x -2/5
1/4x - 4/5x = -2/5 + 3/4
(1/4 - 4/5)x = 7/20
-11/20x = 7/20
x= 7/20 : (-11/20)
x= -7/11
Th2:
1/4x - 3/4 = -(4/5x - 2/5)
1/4x - 3/4 = -4/5x + 2/5
1/4x + 4/5x = 2/5 + 3/4
(1/4 + 4/5)x = 23/20
21/20x = 23/20
x= 23/20 : 21/20
x= 23/21
8) | 2x-1| =x
Th1:
2x -1 = x
2x - x= 1
(2-1)x=1
x= 1
Th2:
2x -1 = -x
2x +x = 1
(2+1)x =1
3x =1
x= 1:3
x= 1/3
Vậy...
Còn câu 9 chiều gửi cho
câu 7 viết v k hiểu
câu 8: |2x-1|=x<=> \(\left[\begin{array}{nghiempt}2x-1=x\\2x-1=-x\end{array}\right.\)=> x=1 hoặc x=1/3
câu 9 |x+2|=2x<=> \(\left[\begin{array}{nghiempt}x+2=-2x\\x+2=2x\end{array}\right.\)=> x=-2/3 hặc x=-1/2
Câu 7 :
\(\left|\frac{1}{4}x-\frac{3}{4}\right|=\frac{4}{5}x-\frac{2}{5}\)
\(\Rightarrow\) \(\left[\begin{array}{nghiempt}-\frac{1}{4}x+\frac{3}{4}=\frac{4}{5}x-\frac{2}{5}\\\frac{1}{4}x-\frac{3}{4}=\frac{4}{5}x-\frac{2}{5}\end{array}\right.\) \(\Leftrightarrow\) \(\left[\begin{array}{nghiempt}\frac{21}{20}x=\frac{23}{20}\\\frac{11}{20}x=-\frac{7}{20}\end{array}\right.\)
\(\Leftrightarrow\) \(\left[\begin{array}{nghiempt}x=\frac{23}{21}\\x=-\frac{7}{11}\end{array}\right.\)
Cây 8) 9) dễ hơn, bạn làm tương tự