Question

Tìm số nguyên x:

1.x-43=(35-x)-48

2.305-x+14=48+(x-23)

3.-(x-6+85)=(x+51)-54

4.-(35-x)-(37-x)=33-x

5.13-|x|=|-4|

6.|x|-3+6=16

7.35-|2x-1|=14

8.|3x-2|+5=9-x

9.x-(-25+7)>12-(15-14)

10.|17+(x-15)|<5

Answer 1

Ai lm hộ mk nha

Answer 2

Nhiều quá bạn ơi

Answer 3

1.\(x-43=\left(35-x\right)-48\)

\(\Rightarrow x-43=35-x-48\)

\(\Rightarrow2x=35+43-48\)

\(\Rightarrow2x=30\)

\(\Rightarrow x=15\)

2.\(305-x+14=48+\left(x-23\right)\)

\(\Rightarrow305-x+14=48+x-23\)

\(\Rightarrow305+14=48+x+x-23\)

\(\Rightarrow2x+25=319\)

\(\Rightarrow2x=294\)

\(\Rightarrow x=147\)

3.\(-\left(x-6+85\right)=\left(x+51\right)-54\)

\(\Rightarrow-x+6-85=x+51-54\)

\(\Rightarrow6-85=x+x+51-54\)

\(\Rightarrow2x-3=-79\)

\(\Rightarrow2x=-76\)

\(\Rightarrow x=-38\)

4.\(-\left(35-x\right)-\left(37-x\right)=33-x\)

\(\Rightarrow-35+x-37+x=33-x\)

\(\Rightarrow2x-72=33-x\)

\(\Rightarrow3x=105\)

\(\Rightarrow x=35\)

5.\(13-\left|x\right|=\left|-4\right|\)

\(\Rightarrow13-\left|x\right|=4\)

\(\Leftrightarrow\left[{}\begin{matrix}13-x=4\\13+x=4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=-9\end{matrix}\right.\)

Answer 4

đăng sớm hơn cả tui rùi đó

Answer 5

1.x-43=(35-x)-48 4. -(35-x) -(37-x)=33-x

x-43=-13-x -35+x-37+x=33-x

2x=30 -72+2x=33-x

x=15. 3x=105

2. 305-x+14=48+(x-23) x=35.

319-x=25+x 3. -(x-6+85)=(x+51)-54

-2x=-294 -x+6-85=x-3

x=147. -x-79=x-3

5.13-\(\left|x\right|\)=\(\left|-4\right|\) -2x=76

13-\(\left|x\right|\)=4 x=-38

\(\left|x\right|\)=9

\(\Rightarrow\)x=9 hoặc x=-9.

Answer 6

6. \(\left|x\right|\)-3+6=16

\(\left|x\right|\)=13

\(\Rightarrow\)x=13 hoặc x=-13.

7. 35-\(\left|2x-1\right|\)=14

\(\left|2x-1\right|\)=21

+)2x-1=21

x=11.

+)2x-1=-21

x=-10.

8. \(\left|3x-2\right|+5=9-x\)

\(\left|3x-2\right|=4-x\)

+)3x-2=4-x

4x=6\(\Rightarrow\)x=\(\dfrac{3}{2}\).

+)3x-2=-(4-x)

3x-2=-4+x

2x=-2\(\Rightarrow\)x=-1.

9. x-(-25+7)>12-(15-14)

x+18>11

x>-7.

Answer 7

10. \(\left|17+\left(x-15\right)\right|\)<5

\(\left|2+x\right|< 5\)

+)2+x<5\(\Rightarrow\)x=3

+)2+x<-5\(\Rightarrow\)x=-7.

Answer 8

1. x - 43 = (35 - x) - 48
<=> x - 43 = 35 - x - 48
<=> x - 43 = -13 - x
<=> x + x = -13 + 43
<=> 2x = 30
<=> x = 15
2.305 - x + 14 = 48 + (x - 23)
<=> 319 - x = 48 + x - 23
<=> 319 - x = 25 + x
<=> 319 - 25 = x + x
<=> 294 = 2x
<=> x = 147
@Lương Thị Quỳnh Trang

Answer 9

3. -(x - 6 + 85) = (x + 51) - 54
<=> -x + 6 - 85 = x + 51 - 54
<=> -x - 79 = x -3
<=> -79 + 3 = x + x
<=> -76 = 2x
<=> x = -38
4. -(35 - x) - (37 - x) = 33 - x
<=> -35 + x - 37 + x = 33 - x
<=> -72 + 2x = 33 - x
<=> 2x + x = 33 + 72
<=> 3x = 105
<=> x = 35
@Lương Thị Quỳnh Trang

Answer 10

5. 13 - |x| = |-4|
<=> 13 - |x| = 4
<=> |x| = 9
<=> \(\left[{}\begin{matrix}x=9\\x=-9\end{matrix}\right.\)
6. |x| - 3 + 6 = 16
<=> |x| + 3 = 16
<=> |x| = 13
<=> \(\left[{}\begin{matrix}x=13\\x=-13\end{matrix}\right.\)
@Lương Thị Quỳnh Trang

Answer 11

7. 35 - |2x - 1| = 14
<=> |2x - 1| = 21
<=> \(\left[{}\begin{matrix}2x-1=21\\2x-1=-21\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=22\\2x=-20\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=11\\x=-10\end{matrix}\right.\)(thỏa mãn)
8. |3x - 2| + 5 = 9 - x
<=> |3x - 2| = 4 - x
<=> \(\left[{}\begin{matrix}3x-2=4-x\\3x-2=-4+x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x+x=4+2\\3x-x=-4+2\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}4x=6\\2x=-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-1\end{matrix}\right.\)(thỏa mãn)
@Lương Thị Quỳnh Trang

Answer 12

9. x - (-25 + 7) > 12 - (15 - 14)
<=> x + 18 > 11
<=> x > -7
10. |17 + (x - 15)| < 5
<=> |2 + x| < 5
<=> \(\left[{}\begin{matrix}2+x< 5\\-2-x< 5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x< -3\\x>-7\end{matrix}\right.\)<=> -7 < x < -3
=> x = -6; -5; -4
@Lương Thị Quỳnh Trang