Question

[loly ARMY]

Tính : 

54 . ( 23 - 11 ) + 23 . ( -22 - 54 )

Tìm số nguyên x , biết : 

-7 + 2x = -17 - ( -36 ) 

Tìm số nguyên a biết 5 chia hết ( 2a + 3 ) 

Answer 1

[Napkin ( Fire Smoke Team )]

1,\(54.\left(23-11\right)+23.\left(-22-54\right)\)

\(=54.12+23.\left(-76\right)\)

\(=648-1748\)

\(=-1100\)

2,\(-7+2x=-17-\left(-36\right)\)

\(=>-7+2x=-17+36\)

\(=>-7+2x=19\)

\(=>2x=19+7=26\)

\(=>x=\frac{26}{2}=13\)

3,\(5⋮2a+3\)

\(=>2a+3\inƯ\left(5\right)\)

\(=>2a+3\in\left\{-1;-5;1;5\right\}\)

\(=>2a\in\left\{-4;-8;-2;2\right\}\)

\(=>a\in\left\{-2;-4;-1;1\right\}\)

Vậy ...

Answer 2

[wattif]

54 . ( 23 - 11 ) + 23 . ( -22 - 54 )

=54.23-54.11+23.-22-23.54

=-54.11+23.-22

=-22(27+23)

=-22.50

=-1100

-7 + 2x = -17 - ( -36 ) 

-7+2x=-17+36

-7+2x+17-36=0

-26+2x=0

2x=26

x=13

Vậy x=13

Để \(5⋮\left(2a+3\right)\Leftrightarrow\left(2a+3\right)\inƯ\left(5\right)\)

\(\Leftrightarrow\left(2a+3\right)\in\left\{\pm1;\pm5\right\}\)

\(\Leftrightarrow a\in\left\{-1;-2;1;-4\right\}\)