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a. \(\frac{1}{5}=0,2\)
\(\Rightarrow|x|=-0,2\)
b.\(\frac{x+9}{15}=\frac{3}{5}\)
\(\frac{9}{15}=\frac{3}{5}\Rightarrow\frac{x+9}{15}=\frac{9}{5}\)
\(\Rightarrow x=0\)
c. \(|x|=0,75=\frac{3}{4}\)
\(|x|=\frac{3}{4}\)
\(|x|=-0,75\)
d.\(\frac{x}{169}=\frac{10^4}{x}\)
\(\frac{x}{169}=\frac{10000}{x}\)
\(\Rightarrow x=-1300\)
0.5x - 2/3x = 7/12
<=> 1/2x - 2/3x = 7/12
<=> (1/2 - 2/3).x = 7/12
<=> -1/6.x = 7/12
<=> x = 7/12 : -1/6
<=> x = -7/2
Vậy x = -7/2
1/3 . x - 0,5 . x = 0,75
=> ( 1/3 - 0,5)x = 0,75
=> ( 1/3 -1/2)x =0,75
=> (-1/6)x = 0,75
=> x = 0,75 : (-1/6)
=> x = -9/2
Vậy x = -9/2
a) \(\frac{4}{3}x-1=\frac{x}{5}\)
=> \(\frac{4}{3}x-\frac{1}{5}x=1\)
=> \(\frac{17}{15}x=1\)
=> \(x=1:\frac{17}{15}=\frac{15}{17}\)
b) \(x+50\%=\frac{4\left(x+1\right)}{3}-\frac{1}{3}\)
=> \(x+\frac{1}{2}=\frac{4x+4-1}{3}\)
=> \(\frac{2x+1}{2}=\frac{4x+3}{3}\)
=> \(\left(2x+1\right).3=2.\left(4x+3\right)\)
=> \(6x+3=8x+6\)
=> \(6x-8x=6-3\)
=> \(-2x=3\)
=> \(x=3:\left(-2\right)=-\frac{3}{2}\)
\(a,\frac{4}{3}x-1=\frac{x}{5}\)
\(\Rightarrow\frac{4}{3}x=\frac{x}{5}+1\)
\(\Rightarrow\frac{4x}{3}=\frac{x+5}{5}\)
\(\Rightarrow20x=3x+15\)
\(\Rightarrow17x=15\)
\(\Rightarrow x=\frac{15}{17}\)
\(b,x+50\%=\frac{4\left(x+1\right)}{3}-\frac{1}{3}\)
\(\Rightarrow x+\frac{1}{2}=\frac{4x+4-1}{3}\)
\(\Rightarrow\frac{2x+1}{2}=\frac{4x+3}{3}\)
\(\Rightarrow3\left(2x+1\right)=\left(4x+3\right).2\)
\(\Rightarrow6x+3=8x+6\)
\(\Rightarrow2x=-3\)
\(\Rightarrow x=-\frac{3}{2}\)
\(c,-200\%.x+\frac{4}{3}=\frac{7}{4}\left(x+1\right)\)
\(\Rightarrow-2x+\frac{4}{3}=\frac{7}{4}x+\frac{7}{4}\)
\(\Rightarrow\frac{-6x+4}{3}=\frac{7x+7}{4}\)
\(\Rightarrow4\left(-6x+4\right)=\left(7x+7\right)3\)
\(\Rightarrow-24x+16=21x+21\)
\(\Rightarrow45x=-5\)
\(\Rightarrow x=-\frac{1}{7}\)
a) \(3x-\frac{1}{5}=\frac{4+x}{2}\)
=> \(\frac{15x-1}{5}=\frac{4+x}{2}\)
=> \(\left(15x-1\right).2=\left(4+x\right).5\)
=> \(30x-2=20+5x\)
=> \(30x-5x=20+2\)
=> \(25x=22\)
=> \(x=\frac{22}{25}\)
b) \(\frac{4}{3}x-1=\frac{4\left(x+1\right)}{3}-\frac{1}{3}\)
=> \(\frac{1}{3}x=\frac{4x+4-1}{3}\)
=> \(\frac{1}{3}x=\frac{4x+3}{3}\)
=> \(3x=3\left(4x+3\right)\)
=> \(3x=12x+9\)
=> \(3x-12x=9\)
=> \(-9x=9\)
=> \(x=9:\left(-9\right)=-1\)
Câu a:
\(\frac{-8}{3x-1}\) = \(\frac{4}{-7}\)
-8.(-7) = 4.(3\(x\) - 1)
56 = 12\(x\) - 4
12\(x\) = 56+ 4
12\(x\) = 60
\(x\) = 60 : 12
\(x\) = 5
Vậy \(x\) = 5
Câu b:
\(\frac{x}{-3}\) = \(\frac{-3}{x}\)
\(x^2\) = (-3)\(^2\)
\(\left[\begin{array}{l}x=-3\\ x=3\end{array}\right.\)
Vậy \(x\in\left\lbrace-3;3\right\rbrace\)
Câu c:
\(-\frac{4}{y}=\frac{x}{2}\)
-4.2 = \(x.y\)
\(xy=-8\)
Ư(8) = (-8; -4; -2; -1; 1; 2; 4; 8}
Vậy (\(x;y\)) = (-8; 1); (-4; 2); (-2; 4); (-1; 8); (1; -8); (2; -4); (4; -2); (8; -1)
Câu 2:
(\(x-1)\)(y + 2) = 7
Ư(7) = {-7; -1; 1; 7}
Lập bảng ta có:
\(x\)-1 | -7 | -1 | 1 | 7 |
\(x\) | -6 | 0 | 2 | 8 |
y+2 | -1 | -7 | 7 | 1 |
y | -3 | -9 | 5 | -1 |
\(x;y\in Z\) | tm | tm | tm | tm |
Theo bảng trên ta có:
(\(x;y\)) = (-6; -3); (0; -9); (2; 5); (8; - 1)
Vậy (\(x;y\)) = (-6; -3); (0; -9); (2; 5); (8; -1)
\(\frac{1}{3}x-0,5x=0,75\)
\(\Leftrightarrow-\frac{1}{6}x=0,75\)
\(\Leftrightarrow\)\(x=-\frac{9}{2}\)
1/3x -0.5x = 0.75
(1/3 - 0.5)x = 0.75
-1/6x =0.75
x =0.75 : -1/6
x =-9/2
tk mình nha .thank bạn nhiều:))
x. (1/3 - 0,5) = 0,75
x. (-1/6) = 3/4
x = 3/4 : (-1/6)
x = -9/2
\(x.\left(\frac{1}{3}-0,5\right)=0,75\)
\(x.\left(\frac{1}{3}-\frac{1}{2}\right)=\frac{3}{4}\)
\(x.\left(\frac{2}{6}-\frac{3}{6}\right)=\frac{3}{4}\)
\(x.\frac{-1}{6}=\frac{3}{4}\)
\(x=\frac{3}{4}:\frac{-1}{6}\)
\(x=\frac{-9}{2}=-4\frac{1}{2}\)
Vậy x = \(-4\frac{1}{2}\)