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\(\frac{-8}{3}+\frac{-1}{3}\)=\(\frac{-9}{3}\)
=-3
\(\frac{-2}{7}+\frac{-1}{7}=\frac{-3}{7}< 0\)
Đề bài trở thành:-3<x<0
Vậy các số cần tìm là -2;-1
\(\left(\frac{3}{5}.x-\frac{2}{3}.x-x\right).\frac{1}{7}=\frac{-5}{21}\)
\(\Rightarrow x.\left(\frac{3}{5}-\frac{2}{3}-1\right).\frac{1}{7}=\frac{-5}{21}\)
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Tính nốt cho ๖ۣۜҨž乡тяầи♚νăи♚нùиɢ❦
\(\left(\frac{3}{5}-\frac{2}{3}-1\right)x.\frac{1}{7}=-\frac{5}{21}\)
\(\Rightarrow x.\frac{-16}{15}=-\frac{5}{21}:\frac{1}{7}\)
\(\Rightarrow x.-\frac{16}{15}=-\frac{5}{3}\)
\(\Rightarrow x=-\frac{5}{3}:-\frac{16}{15}\)
\(\Rightarrow x=\frac{25}{16}\)
\(\left(x+\frac{5}{3}\right)\left(x-\frac{5}{4}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x+\frac{5}{3}\right)=0\\\left(x-\frac{5}{4}\right)=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-\frac{5}{3}\\x=\frac{5}{4}\end{cases}}}\)
\(\frac{1}{3}+\frac{1}{2}\div x=-4\)
\(\frac{1}{2}\div x=-4-\frac{1}{3}\)
\(\frac{1}{2}\div x=-\frac{13}{3}\)
\(x=-\frac{3}{26}\)
a) | 5/4x -7/2| - | 5/8x + 3/5| = 0
|5/4x - 7/2| = | 5/8x + 3/5|
TH1: 5/4x - 7/2 = 5/8x + 3/5
=> 5/4x - 5/8x = 3/5 +7/2
5/8x = 41/10
x = 41/10:5/8
x = 164/25
TH2: 5/4x - 7/2 = -5/8x - 3/5
=> 5/4x + 5/8x = -3/5 +7/2
15/8x = 29/10
x = 29/10 : 15/8
x = 116/75
KL: x = 164/25 hoặc x = 116/75
các bài cn lại b lm tương tự nha! h lm dài lắm!
a)\(\frac{5}{21}\)+\(\frac{-3}{7}\)<\(\frac{x}{21}\)<\(\frac{-2}{7}\)+\(\frac{8}{21}\)
\(\Rightarrow\)\(\frac{-4}{21}\)<\(\frac{x}{21}\)<\(\frac{2}{21}\)
\(\Rightarrow\)\(\frac{x}{21}\)\(\in\)\(\left\{\frac{-3}{21};\frac{-2}{21};\frac{-1}{21};\frac{0}{21};\frac{1}{21}\right\}\)
vậy x\(\in\)\(\left\{-3;-2;-1;0;1\right\}\)
( x + 1 ) + ( x + 3 ) + ... + ( x + 21 ) = 0
( x + x + x + .... + x ) + ( 1 + 3 + 5 + ... + 21 ) = 0
11x + 121 = 0
11x = 0 - 121
11x = - 121
x = ( - 121 ) : 11
x = - 11
=>(x+x+....+x) +(1+2+3+..+21)=0
21x+231=0
=>21x=-231
=>x=-231:21=-11
a) 3 * ( x - 1 ) - ( x - 5 ) = -18
=> 3x - 3 - x + 5 = -18
=> ( 3x - x ) - 3 + 5 = -18
=> 2x + 2 = -18
=> 2x = -18 - 2
=> 2x = -20
=> x = -20 : 2
=> x = -10
b) 5 * ( x + 2 ) - ( 2 * x + 4 ) = -21
=> 5x + 10 - 2x - 4 = -21
=> ( 5x - 2x ) + 10 - 4 = -21
=> 3x + 6 = -21
=> 3x = -21 - 6
=> 3x = -27
=> x = -27 :3
=> x = -9
=> 3x = -39
=> x = -39 : 3
=> x = -13
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
\(x+\frac{2}{5}=\frac{-1}{3}\) \(\frac{5}{7}-x=\frac{-9}{21}\)
\(x=\frac{-1}{3}-\frac{2}{5}\) \(x=\frac{5}{7}-\frac{-9}{21}\)
\(x=\frac{-11}{15}\) \(x=\frac{8}{7}\)
x+2/5=-1/3
=>x=-1/3-2/5
=>x=-11/15
5/7-x=-9/21
=>x=5/7-(-9/21)
=>x=8/7
\(5\times\left(x-3\right)+1=21.\)
\(5\times\left(x-3\right)=21-1\)
\(5\times\left(x-3\right)=20\)
\(x-3=20\div5\)
\(x-3=4\)
\(x=7\)
Trả lời :
\(5.\left(x-3\right)+1=21\)
\(5.\left(x-3\right)=21-1\)
\(5.\left(x-3\right)=20\)
\(x-3=20:5\)
\(x-3=4\)
\(x=4+3\)
\(x=7\)
~ HT ~