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Bài 3:
a) \(159-\left(25-x\right)=43\)
\(\Rightarrow25-x=159-43\)
\(\Rightarrow25-x=116\)
\(\Rightarrow x=25-116\)
\(\Rightarrow x=-91\)
b) \(\left(79-x\right)-43=-\left(17-52\right)\)
\(\Rightarrow\left(79-x\right)-43=-\left(-35\right)\)
\(\Rightarrow79-x=35+43\)
\(\Rightarrow79-x=78\)
\(\Rightarrow x=79-78\)
\(\Rightarrow x=1\)
c) \(-\left(-x+13-142\right)+18=55\)
\(\Rightarrow-\left(-x+13-142\right)=55-18\)
\(\Rightarrow x-13+142=37\)
\(\Rightarrow x+129=37\)
\(\Rightarrow x=37-129\)
\(\Rightarrow x=-92\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 5:
a) Do \(x,y\in N\)
\(\Rightarrow\left\{\left(x;y-2\right)\right\}\in\left\{\left(1;7\right),\left(7;1\right)\right\}\)
\(\Rightarrow\left(x;y\right)\in\left\{\left(1;9\right),\left(7;3\right)\right\}\)
b) Do \(x,y\in N\)
\(\Rightarrow\left(x+1;y+5\right)\in\left\{\left(1;12\right),\left(2;6\right)\right\}\)
\(\Rightarrow\left(x;y\right)\in\left\{\left(0;7\right),\left(1;1\right)\right\}\)
c) Do \(x,y\in N\)
\(\Rightarrow\left(x-1;2y+1\right)\in\left\{\left(18;1\right),\left(2;9\right),\left(6;3\right)\right\}\)
\(\Rightarrow\left(x;y\right)\in\left\{\left(19;0\right),\left(3;4\right),\left(7;1\right)\right\}\)
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a: =>x=75:25%=300
b: =>11/12x=-7/12
hay x=-7/11
c: \(\Leftrightarrow\left(x-1\right)\cdot\dfrac{1}{4}=\dfrac{1}{2}-\dfrac{3}{4}=\dfrac{-1}{4}\)
=>x-1=-1
hay x=0
\(a,=0,25.x=75\Rightarrow x=75:0,25=300\)
\(b,\dfrac{11}{12}x=\dfrac{1}{6}-\dfrac{3}{4}=\dfrac{-7}{12}\)
\(x=\dfrac{-7}{12}:\dfrac{11}{12}=\dfrac{-7}{11}\)
\(c,\dfrac{1}{4}\left(x-1\right)=\dfrac{1}{2}-\dfrac{3}{4}=\dfrac{-1}{4}\)
\(x-1=\dfrac{-1}{4}:\dfrac{1}{4}=-1\)
\(\Leftrightarrow x=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(=27\cdot25-25\cdot127=25\cdot\left(27-127\right)=25\cdot\left(-100\right)=-2500\)
b: \(=\dfrac{-5}{12}+\dfrac{9}{12}-\dfrac{4}{12}=0\)
c: \(=\dfrac{5}{9}\left(\dfrac{7}{13}+\dfrac{9}{13}-\dfrac{3}{13}\right)=\dfrac{5}{9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2^4.5-\left[31-9^2\right]=16.5-\left(31-81\right)=80-\left(-50\right)=130\)
\(2^4\).5-[1.31-(13-4)^2]
=16.5-[1.31-81]
=16.5-[31-81]
=16.5-(-50)
=80-(-50)
=130
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