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\(\frac{3}{7}=\frac{x}{56}=\frac{24}{56}=>x=24\)
\(\frac{x}{5}=\frac{21}{35}=\frac{x}{5}=\frac{3}{5}=>x=3\)
\(\frac{42}{54}=\frac{7}{x}=\frac{7}{8}=\frac{7}{x}=>x=8\)
\(\frac{35}{x}=\frac{7}{15}=\frac{35}{x}=\frac{35}{75}=>x=75\)
a: =>x/-3=3
hay x=-9
b: =>x/9=-1/9
hay x=-1
c: =>x+1/5=-1/3
hay x=-8/15
d: =>-7/x=-7/9
hay x=9
a, \(\dfrac{x}{-3}=3\Leftrightarrow x=-9\)
b, \(\dfrac{x}{9}=-\dfrac{1}{9}\Rightarrow x=-1\)
c, \(\dfrac{x+3}{15}=-\dfrac{6}{15}\Rightarrow x=-9\)
d, \(\dfrac{42}{-54}=-\dfrac{42}{6x}\Rightarrow6x=54\Leftrightarrow x=9\)
A) \(3^x\cdot3=243\)
\(\Leftrightarrow3^x=243:3=81\)
\(\Leftrightarrow3^x=3^4\)
\(\Leftrightarrow x=4\)
B) \(2^x-15=17\)
\(\Leftrightarrow2^x=17+15\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
C) \(\left(x-1\right)^2-7=42\)
\(\Leftrightarrow\left(x-1\right)^2=49\)
\(\Rightarrow\orbr{\begin{cases}x-1=7\\x-1=-7\end{cases}\Rightarrow\orbr{\begin{cases}x=8\\x=-6\end{cases}}}\)
a, 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 2 x 12 x 31 + 4 x 6 x 42 + 8 x 3 x 27
= 24 x 31 + 24 x 42 + 24 x 27
= 24 x ( 31 + 24 + 27 )
= 24 x 82
= 1968
b, 2 x 53 x 12 + 4 x 6 x 87 - 3 x 8 x 40
= 24 x 53 + 24 x 87 - 24 x 40
= 24 x ( 53 + 87 - 40 )
= 24 x 100
= 2400
c, Tương tự
[ ( 6x - 39 ) : 7 ] . 4 = 12
=> ( 6x - 39 ) : 7 = 12 : 4
=> ( 6x - 39 ) : 7 = 3
=> 6x - 39 = 3.7
=> 6x - 39 = 21
=> 6x = 21+39
=> 6x = 60
=> x = 10.
( x : 3 - 4 ) . 5 = 15
=> x : 3 - 4 = 15 : 5
=> x : 3 - 4 = 3
=> x : 3 = 7
=> x = 7.3
=> x = 21
x - [ 42 + (-28) ] = -8
=> x - 14 = -8
=> x = -8 + 14
=> x = 6.
[ (6x - 39): 7] . 4=12
(6x-39) : 7=12:4
(6x -39) :7=3
(6x-39) =3 . 7
6x-39 =21
6x =21 +39
6x=20
x=10
5 x 7 x 77 - 7 x 60 + 49 x 25 - 15 x 42
= 7 x 77 x 5 - 7 x 60 + 7 x 7 x 25 - 15 x 6 x 7
= 7 x 385 - 7 x 60 + 7 x 35 - 7 x 90
= 7 x ( 385 - 60 + 35 - 90 )
= 7 x 270
= 1890
<=> 3x-15=6
<=> 3x=21
<=> x=7
Vậy: x=7