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Tìm \(x\) câu a:
\(\frac13.x\) + \(\frac25.\left(x+1\right)\) = 0
\(\frac{5}{15}x\) + \(\frac{6}{15}x\) + \(\frac25\) = 0
\(\frac{11}{15}x\) = - \(\frac25\)
\(x=-\frac25:\frac{11}{15}\)
\(x\) = - \(\frac25\times\frac{15}{11}\)
\(x\) = - \(\frac{6}{11}\)
Vậy \(x=-\frac{6}{11}\)
Tìm \(x\) câu b:
\(x\) x 25% = 0,5
\(x\times0,25\) = 0,5
\(x=0,5:0,25\)
\(x=2\)
Vậy \(x=2\)
Câu 1a:
1/3x + 2/5(x + 1) = 0
1/3x + 2/5x + 2/5 = 0
1/3x + 2/5x = - 2/5
x(1/3 + 2/5) = -2/5
x.(5/15 + 6/15) = -2/5
x.11/15 = - 2/5
x = - 2/5 : 11/15
x = - 6/11
Vậy x = -6/11
Câu b:
x . 25%. x = 0,5
x.x = 0,5 : 25%
x^2 = 2
x = - \(\sqrt2\); x = \(\sqrt2\)
Vậy x ∈ {- \(\sqrt2\); \(\sqrt2\) )
Câu 1a:
1/3x + 2/5(x + 1) = 0
1/3x + 2/5x + 2/5 = 0
1/3x + 2/5x = - 2/5
x(1/3 + 2/5) = -2/5
x.(5/15 + 6/15) = -2/5
x.11/15 = - 2/5
x = - 2/5 : 11/15
x = - 6/11
Vậy x = -6/11
Câu b:
x . 25%. x = 0,5
x.x = 0,5 : 25%
x^2 = 2
x = - \(\sqrt2\); x = \(\sqrt2\)
Vậy x ∈ {- \(\sqrt2\); \(\sqrt2\) )
\(\frac{6}{11}x=\frac{9}{2}y=\frac{18}{5}z\Rightarrow\frac{6x}{11.18}=\frac{9y}{2.18}=\frac{18z}{5.18}\)
\(\Rightarrow\frac{-x}{-33}=\frac{y}{4}=\frac{z}{5}=\frac{-x+y+z}{-33+4+5}=\frac{-120}{-24}=5\)
\(\Rightarrow x=165;y=20;z=25\)
a) 6/2X +1 = 2/7
=6 x 7 = 2(2x+1)
42=4X + 2
42 - 2 = 4X
40 = 4X
10 =X
Câu b:
Tìm số nguyên \(x\)
\(\frac{24}{7x-3}\) = - \(\frac{4}{25}\)
-4(7\(x-3\)) = 24.25
-4(7\(x-3\)) = 600
(7\(x-3\)) = 600 : (-4)
7\(x-3\) = - 150
7\(x\) = - 150 + 3
7x = - 147
x = - 147 : 7
x = - 21
Vậy x = - 21
\(\frac{24}{-12}\) = \(\frac{x}{5}\) = \(\frac{-y}{3}\)
- 2 = \(\frac{x}{5}\) = \(\frac{-y}{3}\)
\(x=5.\left(-2\right)\) = -10
y = -2.3:(-1) = -6:(-1) = 6
Vậy (\(x;y\)) = (-10; 6)

\(\frac{-5}{x}=\frac{-y}{8}=\frac{18}{72}\)
\(\Leftrightarrow\frac{-5}{x}=\frac{-y}{8}=\frac{1}{4}\)
\(\Leftrightarrow\orbr{\begin{cases}-\frac{5}{x}=\frac{1}{4}\\-\frac{y}{8}=\frac{1}{4}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-5.4:1\\-y=8.1:4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-20\\-y=2\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-20\\y=-2\end{cases}}}\)
vậy x=-20 và y=-2
\(-\frac{1}{3}-x=\frac{1}{2}-\frac{1}{-4}\)
\(-\frac{1}{3}-x=\frac{1}{2}-\frac{-1}{4}\)
\(-\frac{1}{3}-x=\frac{2}{4}-\frac{-1}{4}\)
\(-\frac{1}{3}-x=\frac{3}{4}\)
\(x=-\frac{1}{3}-\frac{3}{4}\)
\(x=-\frac{4}{12}-\frac{9}{12}\)
\(x=-\frac{13}{12}\)
\(x=-\frac{18}{24}+\frac{15}{21}\)
\(x=-\frac{3}{4}+\frac{5}{7}\)
\(x=-\frac{21}{28}+\frac{20}{28}\)
\(x=-\frac{1}{28}\)