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17x + 3. ( -16x – 37) = 2x + 43 - 4x
<=>17x-48x-111=-2x+43
<=>-29x=154
<=> \(x=-\frac{154}{29}\)
-3. (2x + 5) -16 < -4. (3 – 2x)
\(\Leftrightarrow-6x-31< -12+8x.\)
\(\Leftrightarrow-14x< 19\Rightarrow x< -\frac{19}{14}\)
\(a;-\frac{3}{9}+\frac{7}{15}=-x+\left(-\frac{5}{18}\right)\)
\(\Rightarrow\frac{2}{15}=-x-\frac{5}{18}\)
\(\Rightarrow-x=\frac{2}{15}+\frac{5}{18}=\frac{37}{90}\)
\(b;2x-\frac{3}{4}=x-\frac{1}{2}\)
\(\Rightarrow2x-x=-\frac{1}{2}+\frac{3}{4}\)
\(\Rightarrow x=\frac{1}{4}\)
a)-3/9+7/15=-x+(-5/18) b)2x-3/4= x-1/2
=>-x+(-7/15)=2/15 =>2x-x=3/4-1/2
=>-x=2/15-(-7/15) =>x=1/4
=>-x=3/5
=>x=+3/5
Câu 1:
a: =>-2x-x+17=34+x-25
=>-3x+17=x+9
=>-4x=-8
hay x=2
b: =>17x+16x+27=2x+43
=>33x+27=2x+43
=>31x=16
hay x=16/31
c: =>-2x-3x+51=34+2x-50
=>-5x+51=2x-16
=>-7x=-67
hay x=67/7
e: 3x-32>-5x+1
=>8x>33
hay x>33/8
18 - 4\(x\) = -20 - 6\(x\)
-4\(x\) + 6\(x\) = - 20 - 18
2\(x\) = - 38
\(x\) = - 19
h, -15 \(\times\) 24 = -7\(x\) + 32
7\(x\) = 360 + 32
7\(x\) = 392
\(x\) = 392:7
\(x\) = 56
i, 15\(x\) -3.(4\(x\) - 6) = -12 + 36
15\(x\) - 12\(x\) + 18 = 24
3\(x\) = 24 - 18
3\(x\) = 6
\(x\) = 2
k, -10\(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) = -20
\((x-6)(3x-9)>0\)
TH1:
\(\orbr{\begin{cases}x-6< 0\\3x-9< 0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x< 6\\x< 3\end{cases}}\)\(\Rightarrow x< 3\)
TH2:
\(\orbr{\begin{cases}x-6>0\\3x-9>0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x>6\\x>3\end{cases}}\)\(\Rightarrow x>6\)
Vậy \(x< 3\) hoặc \(x>6\)thì \((x-6)(3x-9)>0\)
Học tốt!
20.
\((2x-1)(6-x)>0\)
TH1:
\(\orbr{\begin{cases}2x-1>0\\6-x>0\end{cases}\Rightarrow\orbr{\begin{cases}x< \frac{1}{2}\\x< 6\end{cases}}\Rightarrow x< 6}\)
TH2
\(\orbr{\begin{cases}2x-1< 0\\6-x< 0\end{cases}\Rightarrow\orbr{\begin{cases}x>\frac{1}{2}\\x>6\end{cases}}\Rightarrow x>\frac{1}{2}}\)
Vậy \(x< 6\)hoặc \(x>\frac{1}{2}\)thì \((2x-1)(6-x)>0\)
a, 4x+18:2 = 13
4x+9 = 13
x = 1
b, 48 – 3(x+5) = 24
3(x+5) = 24
x + 5 = 8
x = 3
c, 2 x - 2 0 = 3 5 : 3 3
2x – 1 = 3 2
2x = 10
x = 5
d, (15+x):3 = 3 15 : 3 12
(15+x):3 = 3 3
(15+x):3 = 27
15 + x = 54
x = 39
ta có 2x-5+16=15-5x+3 => 7x=7=>x=1
(x-2)(x+5)-18=x^2-4x => x^2+3x-10-18=x^2-4x =>7x=28 =>x=4