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\(1,\left|x+2\right|-12=-1\)
\(\Rightarrow\left|x+2\right|=11\)
\(\Rightarrow\orbr{\begin{cases}x+2=11\\x+2=-11\end{cases}}\Rightarrow\orbr{\begin{cases}x=9\\x=-13\end{cases}}\)
\(2,135-\left|9-x\right|=35\)
\(\Rightarrow\left|9-x\right|=100\)
\(\Rightarrow\orbr{\begin{cases}9-x=100\\9-x=-100\end{cases}\Rightarrow\orbr{\begin{cases}x=-91\\x=109\end{cases}}}\)
\(3,xy+2x+2y=-16\)
\(\Rightarrow x\left(y+2\right)+2y+4=-16+4\)
\(\Rightarrow x\left(y+2\right)+2\left(y+2\right)=-12\)
\(\Rightarrow\left(x+2\right)\left(y+2\right)=-12\)
xét bảng :
x+2 | -1 | 1 | -2 | 2 | -3 | 3 | -4 | 4 | -6 | 6 | -12 | 12 |
y+2 | -12 | 12 | -6 | 6 | -4 | 4 | -3 | 3 | -2 | 2 | -1 | 1 |
x | -3 | -1 | -4 | 0 | -5 | 1 | -6 | 2 | -8 | 4 | -14 | 10 |
y | -14 | 10 | -8 | 4 | -6 | 2 | -5 | 1 | -5 | 0 | -3 | -1 |
\(\frac{x-3}{-7}=\frac{4}{14}\)
\(\frac{-2}{-7}=\frac{4}{14}\)\(\Rightarrow x-3=-2\)
\(x=(-2)+3\)
\(x=1\)
Chúc bạn một buổi tối vui vẻ ~! ❤‿❤
\(\frac{x-3}{-7}=\frac{4}{14}\)
=> \(\frac{-2\left(x-3\right)}{14}=\frac{4}{14}\)
=> -2x + 6 = 4
=> -2x = 4 - 6
=> -2x = -2
=> x = -2 : (-2)
=> x = 1
\(\left|2x-3\right|=13\)
\(\Leftrightarrow\orbr{\begin{cases}2x-3=13\\2x-3=-13\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=8\\x=-5\end{cases}}\)
\(2xy+x+2y=-4\)
\(\Rightarrow x\left(2y+1\right)+\left(2y+1\right)=-4+1\)
\(\Rightarrow\left(x+1\right)\left(2y+1\right)=-3\)
\(\Rightarrow\left(x+1\right);\left(2y+1\right)\inƯ\left(-3\right)=\left\{\pm1;\pm3\right\}\)
Xét bảng:
x+1 | 1 | -1 | 3 | -3 |
2y+1 | -3 | 3 | -1 | 1 |
x | 0 | -2 | 2 | -4 |
y | -2 | 1 | -1 | 0 |
Vậy......................................
a, 2x - 5 = 13
2x = 18
x = 9
b, 5x -2 < 0
5x < 2
x < \(\frac{2}{5}\)
Câu 1,
x+y=-1/3 ; y+z=5/4 ; x+z= 4/3
=> 2(x+y+z)=9/4
=> x+y+z=9/8
Ta lại có: x+y=-1/3
=> z=9/8 -(-1/3)=35/24
Ta lại có: z+y=5/4
=> y=-5/24
=> x=.....
Câu 2:
\(-4\le x\le-\frac{11}{18}\)
\(a,2\left(x-1\right)-\left(x-3\right)=4\)
\(2x-2-x+3=4\)
\(2x-x-2+3=4\)
\(x+1=4\)
\(x=4-1\)
\(x=3\)
Vậy \(x=3\).
\(b,2\left(x+8\right)+\left(9-x\right)=-10\)
\(2x+16+9-x=-10\)
\(2x-x+16+9=-10\)
\(x+25=-10\)
\(x=-10-25\)
\(x=-35\)
Vậy \(x=-35\).
a) \(2\left(x-1\right)-\left(x-3\right)=4\)
\(\Leftrightarrow2x-2-x+3=4\)
\(\Leftrightarrow2x-x-2+3-4=0\)
\(\Leftrightarrow x-3=0\)
\(\Leftrightarrow x=3\)
b) \(2\left(x+8\right)+\left(9-x\right)=-10\)
\(\Leftrightarrow2x+16+9-x=-10\)
\(\Leftrightarrow2x-x+16+9+10=0\)
\(\Leftrightarrow x+35=0\)
\(\Leftrightarrow x=-35\)
\(2xy+x+2y=-4\)
\(\Rightarrow x\left(2y+1\right)+\left(2y+1\right)=-4+1\)
\(\Rightarrow\left(x+1\right)\left(2y+1\right)-3\)
Vì x;y thuộc Z \(\Rightarrow\left(x+1\right);\left(2y+1\right)\inƯ\left(-3\right)=\left\{\pm1;\pm3\right\}\)
Xét bảng
Vậy......................