Question

Tìm x, biết:

a) x + 7 = 12

b) x - 15 = -21

c)17 - (x - 9) = 12

d) \(|x|\) + \(|-35|\) = 41

e) | x + 3| = 6

f) | - 11| - |2- x| = 9

Answer 1

a, x+7=12

x=12-7

x=5

b, x-15=-21

x=-21+15

x=-6

c, 17-(x-9)=12

x-9=17-12

x-9=5

x=5+9

x=14

d, \(\left|x\right|+\left|-35\right|=41\)

\(\left|x\right|+35=41\)

\(\left|x\right|=41-35\)

\(\left|x\right|=6\)

\(\Rightarrow x=6\) hoặc \(x=-6\)

Vậy \(x\in\left\{6;-6\right\}\)

e, \(\left|x+3\right|=6\)

=> x+3=6 hoặc x+3=-6

+) x+3=6

x=6-3

x=3

+) x+3=-6

x=(-6)-3

x=-3

f, \(\left|-11\right|-\left|2-x\right|=9\)

\(11-\left|2-x\right|=9\)

\(\left|2-x\right|=11-9\)

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

\(\Rightarrow2-x=2\) hoặc \(2-x=-2\)

+) 2-x=2

x=2-2=0

+) 2-x=-2

x=2-(-2)=4