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\(\Leftrightarrow32-x-7+\left|x\right|-\left|x\right|-25=-45\)
=>-x=-45
hay x=45
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\(25-\left(-2+x+25\right)=\left(-10-379\right)+\left(-379-5\right)\)
\(\Leftrightarrow\)\(125+2-x-25=-10-379-379-5\)
\(\Leftrightarrow\)\(102-x=-773\)
\(\Leftrightarrow\)\(x=102+773=875\)
\(25-\left(-2+x+25\right)=\left(-10-379\right)+\left(-379-5\right)\)
\(25+2-x-25=\left(-389\right)+\left(-384\right)\)
\(25+2-x-25=-773\)
\(27-x=-773+25\)
\(27-x=-748\)
\(x=27-\left(-748\right)=775\)
\(x=798-3=796\)
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a, 27+(-17+x)=297-(12+297)
27-17+x=297-12-297
10+x=-12
x=-22
b,25-(-2+x+25)= -(-10-397)+(-397-5)
25+2-x-25=10+397-397-5
2-x=5
x=-3
c, (32-x)+(-7+/x/)-(/-x/+25)=-45
* TH1: x>=0, ta có /x/=x , /-x/=-x
32-x+(-7+x)-(-x+25)=-45
32-x-7+x+x-25=-45
x=-45
*TH2:x<0, ta có /x/=-x, /-x/=x
32-x-7-x-x-25=-45
-3x=-45
x=15
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a) (-37 - 17) . (-9) + 35 . (-9 - 11)
=-54*(-9)+35*(-20)
=486+(-700)
=-214
b) (-25) . (75 - 45) - 75 . ( 45 - 25)
=(-25)*30-75*20
=-750-1500
=-2250
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( 32 - x ) + ( -7 + |x| ) - ( |-x| + 25 ) = -45
( 32 - x ) + ( -7 + |x| ) = -45 + ( |-x| + 25 )
( 32 - x ) + ( -7 + |x| ) = -45 + 25 + |-x|
( 32 - x ) + ( -7 + |x| ) = -20 + |-x|
( 32 - x ) = -20 + |-x| - ( -7 ) + |x|
( 32 - x ) = -20 + 7 + |-x| + |x|
( 32 - x ) = -13 + x + x
( 32 - x ) = -13 + 2x
32 - x = -13 + 2x
-2x + ( -x ) = -13 -32
-3x = -45
3x = 45
x = 45 : 3 = 15
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với m = 0 \Rightarrow ∫y=104x=4∫x=4y=104
với m khác 0 \Rightarrow ∫x+my=4mx+4y=10−m∫mx+4y=10−mx+my=4
\Leftrightarrow ∫y=5m+2x=−m+8m+2∫x=−m+8m+2y=5m+2
b. vì x >0 , y>0 \Rightarrow ∫y=5m+2>0x=−m+8m+2>0∫x=−m+8m+2>0y=5m+2>0
\Rightarrow ∫−m+8>0m+2>0∫m+2>0−m+8>0
\Rightarrow ∫m<8m>−2∫m>−2m<8
\Rightarrow -2<m<8
\Rightarrow m ={ -1;0;1;2;3;4;5;6;7}
c, y = −m+8m+2−m+8m+2 = -1 + 10m+210m+2
hệ có nghiệm x.y nguyên dương \Leftrightarrow m+2 là ước nguyên dương của 5
\Leftrightarrow m+2 = 1 ; 5
m+2 = 1 \Rightarrow m = -1
m+2 = 5 \Rightarrow m =3