Tìm x biết : x/3 = 14/21+-3/21
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a. 3/7 - 1/2x = 5/3
=> 1/2x = 3/7 - 5/3
=> 1/2x = 9/21 - 15/21
=> 1/2x = -26/21
=> x = -26/21 : 1/2
=> x = -26/21.2
=> x = -52/21
b. -2x + 3/14 = 1/7 - 4/21
=> -2x = -3/14 + 1/7 - 4/21
=> -2x = -18/84 + 12/84 - 16/84
=> -2x = -22/84
=> x = -22/84 : -2
=> x = -22/84 . (-1/2)
=> x = 11/84
a. 3/7 - 1/2x = 5/3
=> 1/2x = 3/7 - 5/3
=> 1/2x = 9/21 - 15/21
=> 1/2x = -26/21
=> x = -26/21 : 1/2
=> x = -26/21.2
=> x = -52/21
b. -2x + 3/14 = 1/7 - 4/21
=> -2x = -3/14 + 1/7 - 4/21
=> -2x = -18/84 + 12/84 - 16/84
=> -2x = -22/84
=> x = -22/84 : -2
=> x = -22/84 . (-1/2)
=> x = 11/84
![](https://rs.olm.vn/images/avt/0.png?1311)
a)3x - 105 : 21 = 19
3x - 5 = 19
3x = 19 + 5
3x = 24
x = 24 : 8
x = 3
b, x - 7 = 14 - 3 . 23
x - 7 = 14 - 3 . 8
x - 7 = 14 - 24
x - 7 = -10
x = (-10) + 7
x = -3
HT và $$$
Bài 2:
a) 3x - 105 : 21= 19 b) x - 7= 14 - 3 . 2^3
3x - 5 = 19 x - 7= 14 - 3.8
3x = 19+ 5 x - 7= 14 - 24
3x = 24 x - 7= -10
x = 24 : 3 x = -10+7
x = 8 x = -3
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a) \(\frac{16}{15}.\frac{\left(-5\right)}{14}.\frac{54}{24}.\frac{56}{21}\)
\(=\frac{4.2.2}{5.3}.\frac{\left(-5\right)}{2.7}.\frac{3.3}{4}.\frac{8}{3}\)
\(=\frac{4.2.2.\left(-5\right).3.3.8}{5.3.2.7.4.3}\)
\(=\frac{-16}{7}\)
b) \(\frac{7}{3}.\frac{\left(-5\right)}{2}.\frac{15}{21}.\frac{4}{\left(-5\right)}\)
\(=\frac{7}{3}.\frac{\left(-5\right)}{2}.\frac{5}{7}.\frac{2.2}{\left(-5\right)}\)
\(=\frac{7.\left(-5\right).5.2.2}{3.2.7.\left(-5\right)}\)
\(=\frac{10}{3}\)
Bài 2:
a) \(\frac{21}{24}.\frac{11}{9}.\frac{5}{7}=\frac{7}{8}.\frac{11}{9}.\frac{5}{7}=\frac{11.5}{8.9}=\frac{55}{72}\)
b) \(\frac{5}{23}.\frac{17}{26}+\frac{5}{23}.\frac{9}{26}\)
\(=\frac{5}{23}.\left(\frac{17}{26}+\frac{9}{26}\right)=\frac{5}{23}.1=\frac{5}{23}\)
c) \(\left(\frac{3}{29}-\frac{1}{5}\right).\frac{29}{3}=\frac{3}{29}.\frac{29}{3}-\frac{1}{5}.\frac{29}{3}\)
\(=1-1\frac{14}{15}=\frac{14}{15}\)
Bài 3:
a) x/5 = 2/5
=> x =2
b) -4/x = 20/14 = 10/7
=> -4/x = 10/7
=> x.10 = (-4).7
x.10 = - 28
x= -28 :10
x= -2,8
c) 4/7 = 12/x = 12/ 21
=> 12/x = 12/21
=> x = 21
d) 3/7 = x / 21 = 9/21
=> x/21 = 9/21
=> x= 9
![](https://rs.olm.vn/images/avt/0.png?1311)
a) đề kiểu gì vậy bạn
b) \(x+\frac{2}{14}=\frac{3}{21}\Leftrightarrow x=0\)
c) \(x+\frac{2}{7}=\frac{1}{2}\Leftrightarrow x=\frac{3}{14}\)
d) \(\frac{12}{15}=\frac{x-5}{10}\Leftrightarrow15x-75=120\Leftrightarrow15x=195\Leftrightarrow x=13\)
![](https://rs.olm.vn/images/avt/0.png?1311)
b) \(xy+3x-2y=11\)
\(xy+3x-2y-6=11-6\)
\(xy+3x-2y-6=5\)
\(\left(xy+3x\right)-\left(2y+6\right)=5\)
\(x\left(y+3\right)-2\left(y+3\right)=5\)
\(\left(x-2\right)\left(y+3\right)=5\)
\(\Rightarrow5=\left(-1\right)\left(-5\right)=1\cdot5\)
Bạn tự lập bảng mà thử nghiệm nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(-\frac{3}{7}\left(x-7\right)-\left(-\frac{5}{14}\right)\left(2x-3\right)-15=\frac{7}{-21}\)
\(\Leftrightarrow-\frac{3}{7}\left(x-7\right)+\frac{5}{14}\left(2x-3\right)=\frac{44}{3}\)
\(\Leftrightarrow-\frac{3}{7}x+3+\frac{5}{7}x-\frac{15}{14}=\frac{44}{3}\)
\(\Leftrightarrow x\left(-\frac{3}{7}+\frac{5}{7}\right)+3-\frac{15}{14}=\frac{44}{3}\)
\(\Leftrightarrow x\frac{2}{7}+3=\frac{661}{42}\)
\(\Leftrightarrow x\frac{2}{7}=\frac{535}{42}\Leftrightarrow x=\frac{535}{12}\)