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= (-123) x (-25) - 123 x 89 + 123 x 89 - 123 x 125
= 123 x 25 - 123 x 89 + 123 x 89 - 123 x 125
= 123 x (25 - 125) - (123 x 89 - 123 x 89)
= 123 x (-100) - 0
= -12 300
Câu 1 :
a) 1532 + ( - 186 ) + ( - 1432 ) - 14 + 123
= 1532 - 186 - 1432 - 14 + 123
= ( 1532 - 1432 ) - ( 186 + 14 ) + 123
= 100 - 200 + 123
= -100 + 123
= -23.
b) -47.69 + 31.(-47)
= -47 . ( 69 + 31 )
= -47 . 100 = -4700
Câu 2
a) x + 10 = -14
x = -14-10 = -24
b ) 5x-12=48
5x = 48+12=60
x=60:5=12
Câu 1:
a) 1532 +(-186) +(-1432)-14+123
=1532+(-1432)+[(-186)-14]+123
= 100 + (-200) +123
=23
b)-47.69 +31.(-47)
=-47(69+31)
= -47.100
=-4700
Câu 2:
a) x+10=-14
x=-14-10
x=-24
b)5x-12=48
5x=48+12
5x=60
x=60:5
x=12
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\(5x+1\text{⋮}2x+3\)
\(\text{⇒}2\left(5x+1\right)\text{⋮}2x+3\)
\(\text{⇒}10x+2\text{⋮}2x+3\)
\(\text{⇒}10x+15-13\text{⋮}2x+3\)
\(\text{⇒}5\left(2x+3\right)-13\text{⋮}2x+3\)
\(\text{⇒}13\text{⋮}2x+3\)
\(\text{⇒}2x+3\text{∈}Ư\left(13\right)=\left\{13;-13;1;-1\right\}\)
\(\text{⇒}2x\text{∈ }\left\{10;-16;-2;-4\right\}\)
\(\text{⇒}x\text{∈}\left\{5;-8;-1;-2\right\}\)
Vậy \(x\text{∈}\left\{5;8;-1;-2\right\}\)
5x+6⋮x+2
=>5(x+2)-4⋮x+2
Mà x+2⋮x+2 =>5(x+2)⋮x+2
=>4⋮x+2
=>x+2∈Ư(4)={-4;-2;-1;1;2;4}
=>x∈{-6;-4;-3;-1;0;2}
Vì x+2 ⋮ x+2; 5 ∈ N
=> 5(x+2) ⋮ x+2
=> 5x +10 ⋮ x+2
Mà 5x + 6 ⋮ x+2
=> (5x+10)-(5x+6) ⋮ x+2
=> 4 ⋮ x+2
=> x+2 thuộc tập ước của 4
Mà ước của 4 = {1;-1;2;-2;4;-4}
=> x+2 ∈ {1;-1;2;-2;4;-4}
=> x ∈ {-1;-3;0;-4;2;-6}
Vậy x ∈ {-1;-3;0;-4;2;-6}
\(\frac{5x+4}{2006}+\frac{5x+3}{2007}=\frac{5x+2}{2008}+\frac{5x+1}{2009}\)
\(\Leftrightarrow\frac{5x+4}{2006}+1+\frac{5x+3}{2007}+1=\frac{5x+2}{2008}+1+\frac{5x+1}{2009}+1\)
\(\Leftrightarrow\frac{5x+2010}{2006}+\frac{5x+2010}{2007}=\frac{5x+2010}{2008}+\frac{5x+2010}{2009}\)
\(\Leftrightarrow\left(5x+2010\right)\left(\frac{1}{2006}+\frac{1}{2007}\right)=\left(5x+2010\right)\left(\frac{1}{2008}+\frac{1}{2009}\right)\)
\(\Leftrightarrow5x+2010=0\)
\(\Leftrightarrow5x=-2010\)
\(\Leftrightarrow x=-402\)
5x + 150 = 123 + 312
5x + 150 = 435
5x = 435 - 150
5x = 285
x = 57
k nhé
5x + 150 = 123 + 312
5x + 150 = 435
5x = 435 - 150
5x = 285
x = 285 : 5
x = 57
k mk nha mk nhanh nhất