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Bài 15:
a: 2x+x=45
=>3x=45
=>\(x=\frac{45}{3}=15\)
b: 2x+7x=918
=>\(x\cdot\left(7+2\right)=918\)
=>9x=918
=>\(x=\frac{918}{9}=102\)
c: 2x+3x=60+5
=>5x=65
=>\(x=\frac{65}{5}=13\)
d: \(11x+22x=33\cdot2\)
=>33x=66
=>\(x=\frac{66}{33}=2\)
Bài 14:
a: (12-x)(2-x)=0
=>\(\left[\begin{array}{l}12-x=0\\ 2-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=12\\ x=2\end{array}\right.\)
b: (x-33)(11-x)=0
=>\(\left[\begin{array}{l}x-33=0\\ 11-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=33\\ x=11\end{array}\right.\)
c: (21-x)(12-x)=0
=>\(\left[\begin{array}{l}21-x=0\\ 12-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=21\\ x=12\end{array}\right.\)
d: (50-x)(x-150)=0
=>\(\left[\begin{array}{l}50-x=0\\ x-150=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=50\\ x=150\end{array}\right.\)
Bài 13:
a: (x-2)(x-3)=0
=>\(\left[\begin{array}{l}x-2=0\\ x-3=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=2\\ x=3\end{array}\right.\)
b: (x-3)(x-4)=0
=>\(\left[\begin{array}{l}x-3=0\\ x-4=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=4\end{array}\right.\)
c: (x-7)(6-x)=0
=>\(\left[\begin{array}{l}x-7=0\\ 6-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=7\\ x=6\end{array}\right.\)
d: (x-3)(x-13)=0
=>\(\left[\begin{array}{l}x-3=0\\ x-13=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=13\end{array}\right.\)
a, 117 - \(x\) = 28 - (-7)
117 - \(x\) = 28 + 7
117 - \(x\) = 35
\(x\) = 117 - 35
\(x\) = 82
b, \(x\) - (-38 - 2\(x\)) = (-3) - 8 + 2\(x\)
\(x\) + 38 + 2\(x\) = - 11 + 2\(x\)
3\(x\) + 38 = - 11 + 2\(x\)
3\(x\) - 2\(x\) = - 11 - 38
\(x\) = - 49
Cần bổ sung điều kiện \(x;y\inℤ\)
a) \(\left(x-7\right)\left(xy+1\right)=9=1\cdot9=3\cdot3=\left(-1\right)\cdot\left(-9\right)=\left(-3\right)\cdot\left(-3\right)\)
Xét bảng :
| x-7 | 1 | 9 | -1 | -9 | 3 | -3 |
| xy+1 | 9 | 1 | -9 | -1 | 3 | -3 |
| x | 8 | 16 | 6 | -2 | 10 | 4 |
| y | 1 | 0 | -1,(6) | 1 | 0,2 | -1 |
Vì x,y thuộc Z nên ta có (x;y)={(8;1),(16;0),(-2;1),(4;-1)
b) \(\left(x+5\right)\left(3x-12\right)>0\)
TH1 : \(\hept{\begin{cases}x+5>0\\3x-12>0\end{cases}\Leftrightarrow\hept{\begin{cases}x>-5\\x>4\end{cases}\Leftrightarrow x>4}}\)
TH2 : \(\hept{\begin{cases}x+5< 0\\3x-12< 0\end{cases}\Leftrightarrow\hept{\begin{cases}x< -5\\x< 4\end{cases}\Leftrightarrow x< -5}}\)
Vậy....
Ta có : 3/19= 12/7x
<=> 21x=108
<=> x= 36/7
Chúc bn hc tốt