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\(\frac{x+1}{5x}-\frac{1}{3x}=\frac{-26}{5}\)
\(\Leftrightarrow\frac{\left(x-1\right)3-5}{15x}=\frac{-26}{5}\)
\(\Leftrightarrow\frac{3x+3-5}{15x}+\frac{26}{5}=0\Leftrightarrow\frac{3x-2+26.3x}{15x}=0\)
\(\Leftrightarrow\)\(\frac{81x-2}{15x}=0\)
\(\Rightarrow81x-2=0\Rightarrow x=\frac{2}{81}\)
x + 1/5x - 1/3x = -26/5
x(1 + 1/5 - 1/3) = -26/5
13/15x = -26/5
x = -26/5 : 13/15
x = -6
\(\dfrac{3}{5}\) x 0,25\(x\) = - \(\dfrac{1}{2}\)
0,25\(x\) = - \(\dfrac{1}{2}\) : \(\dfrac{3}{5}\)
0,25\(x\) = - \(\dfrac{1}{2}\) x \(\dfrac{5}{3}\)
0,25\(x\) = - \(\dfrac{5}{6}\)
\(x\) = - \(\dfrac{5}{6}\) : 0,25
\(x\) = - \(\dfrac{5}{6}\) x 4
\(x\) = - \(\dfrac{10}{3}\)
Vậy \(x\) = - \(\dfrac{10}{3}\)
2626 : (\(\dfrac{1}{2}\)\(x\) + \(\dfrac{5}{2}\)\(x\)) = 26
\(\dfrac{1}{2}\)\(x\) + \(\dfrac{5}{2}\)\(x\) = 2626 : 26
\(\dfrac{1}{2}\)\(x\) + \(\dfrac{5}{2}\)\(x\) = 101
\(x\) x ( \(\dfrac{1}{2}\) + \(\dfrac{5}{2}\)) = 101
\(x\) x 3 = 101
\(x\) = 101 : 3
\(x\) = \(\dfrac{101}{3}\)
Vậy \(x\) = \(\dfrac{101}{3}\)
a) 7(x - 5) + 2 = 51
\(\Leftrightarrow\) 7(x - 5) = 51 - 2
\(\Leftrightarrow\) 7(x - 5) = 49
\(\Leftrightarrow\) x - 5 = 49 : 7
\(\Leftrightarrow\) x - 5 = 7
\(\Leftrightarrow\) x = 7 + 5
\(\Leftrightarrow\) x = 12.
Vậy x = 12.
k) 2412 : (3x + 147) = |-38| + (-26)
\(\Leftrightarrow\) 2412 : (3x + 147)= 38 + (-26)
\(\Leftrightarrow\) 2412 : (3x + 147)= 12
\(\Leftrightarrow\) 3x + 147 = 2412 : 12
\(\Leftrightarrow\) 3x + 147 = 201
\(\Leftrightarrow\) 3x = 201 - 147
\(\Leftrightarrow\) 3x = 54
\(\Leftrightarrow\) x = 54 : 3
\(\Leftrightarrow\) x = 18.
Vậy x = 18.
I) 4824 : (4x + 137) = |-59| + (-35)
\(\Leftrightarrow\) 4824 :(4x + 137) = 59 + (-35)
\(\Leftrightarrow\) 4824 :(4x + 137) = 24
\(\Leftrightarrow\) 4x + 137 = 4824 : 24
\(\Leftrightarrow\) 4x + 137 = 201
\(\Leftrightarrow\) 4x = 201 - 137
\(\Leftrightarrow\) 4x = 64
\(\Leftrightarrow\) x = 64 : 4
\(\Leftrightarrow\) x = 16.
Vậy x = 16.
c) |-123| - 5(x - 3) = (-28) + 66
\(\Leftrightarrow\) 123 - 5(x - 3) = 38
\(\Leftrightarrow\) 5(x - 3) = 123 - 38
\(\Leftrightarrow\) 5(x - 3) = 85
\(\Leftrightarrow\) x - 3 = 85 : 5
\(\Leftrightarrow\) x - 3 = 17
\(\Leftrightarrow\) x = 17 + 3
\(\Leftrightarrow\) x = 20.
Vậy x = 20.
m) 7x - 4 . 6 = 2058
\(\Leftrightarrow\) 7x - 24 = 2058
\(\Leftrightarrow\) 7x = 2058 + 24
\(\Leftrightarrow\) 7x = 2082
\(\Leftrightarrow\) x = 2082 : 7
\(\Leftrightarrow\) x = \(\frac{2058}{7}\).
Vậy x = \(\frac{2058}{7}\).
Phần b) ra phân số nên mình để mai làm và cả những bài còn lại nữa.
Chúc bạn học tốt !!!
---------------NHANH NHA MK ĐANG CẦN GẤP--------------
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a) \(\dfrac{2}{3}x-\dfrac{1}{2}=\dfrac{1}{10}\)
\(\dfrac{2}{3}x=\dfrac{1}{10}+\dfrac{1}{2}=\dfrac{3}{5}\)
\(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{9}{10}\)
b) \(\dfrac{39}{7}:x=13\)
\(x=\dfrac{\dfrac{39}{7}}{13}=\dfrac{3}{7}\)
c) \(\left(\dfrac{14}{5}x-50\right):\dfrac{2}{3}=51\)
\(\dfrac{14}{5}x-50=51\cdot\dfrac{2}{3}=34\)
\(\dfrac{14}{5}x=34+50=84\)
\(x=\dfrac{84}{\dfrac{14}{5}}=30\)
d) \(\left(x+\dfrac{1}{2}\right)\left(\dfrac{2}{3}-2x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=0\\\dfrac{2}{3}-2x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)
e) \(\dfrac{2}{3}x-\dfrac{1}{2}x=\dfrac{5}{12}\)
\(\dfrac{1}{6}x=\dfrac{5}{12}\)
\(x=\dfrac{5}{12}:\dfrac{1}{6}=\dfrac{5}{2}\)
g) \(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\dfrac{11}{5}-\dfrac{3}{7}=-2\)
\(\left(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\right)\cdot\dfrac{11}{5}=-2+\dfrac{3}{7}=-\dfrac{11}{7}\)
\(x\cdot\dfrac{44}{7}+\dfrac{3}{7}=-\dfrac{11}{7}:\dfrac{11}{5}=-\dfrac{5}{7}\)
\(\dfrac{44}{7}x=-\dfrac{5}{7}-\dfrac{3}{7}=-\dfrac{8}{7}\)
\(x=-\dfrac{8}{7}:\dfrac{44}{7}=-\dfrac{2}{11}\)
h) \(\dfrac{13}{4}x+\left(-\dfrac{7}{6}\right)x-\dfrac{5}{3}=\dfrac{5}{12}\)
\(\dfrac{25}{12}x-\dfrac{5}{3}=\dfrac{5}{12}\)
\(\dfrac{25}{12}x=\dfrac{5}{12}+\dfrac{5}{3}=\dfrac{25}{12}\)
\(x=1\)
Mỏi tay woa bn làm nốt nha!!
c) x.(1+2+3+4+...+100)=0
x.5050=0
x=0:5050=0
Vậy x=0
d) x.(1+2+3+4+5+...+100)=5050
x.5050=5050
x=1
Vậy x=1
e) x+1+x+2+x+3+x+4+...+x+100=5050
(x+x+x+x+...+x)+(1+2+3+4+...+100)=5050
100 số hạng x
x.100+5050=5050
x.100=0
x=0
Vậy x=0
c) (x + 9 - 17) - 24 = 11 - (x + 7)
(x + 8) - 24 = 11 - (x + 7)
(x + 8) - 24 = 11 - x - 7
x-8-24=11-x-7
x-8-24=4-x
x -32 = 4 -x
x + x -32 =4
x + x = 4 +32
2x=36
x=18
a) -5x - 25 = 3x + 23
-5x - 32 = 3x + 8
-5x - 3x - 32 = 8
-5x - 3x = 8 +32
-8x = 8+32
-8x = 40
x= -5
\(x-\frac{1}{3}x+\frac{1}{5}x=\frac{-26}{x}\)
\(x-\frac{5}{15}x+\frac{3}{15}x=\frac{-26}{x}\)
\(x.\left(1-\frac{5}{15}+\frac{3}{15}\right)=\frac{-26}{x}\)
\(x.\left(\frac{15}{15}-\frac{5}{15}+\frac{3}{15}\right)=\frac{-26}{x}\)
\(x.\frac{13}{15}=\frac{-26}{x}\)
\(\frac{13x}{15}=\frac{-26}{x}\)
\(13x.x=-26.15\)
\(13x^2=-390\)
\(x^2=-390:13\)
\(x^2=-30\)
Cảm ơn bạn nhiều nha!