Question

Rozwiąż równanie:
a) |7x-3|=2
b) |9x+5|=4
c) |2/3x+4|=6
d) |6-7/5x|=1
e) |x+4|=14
f) |x-100|=1
g) |x+7|=0,05
h) |10-x|=4
i) |x-1/3|=1/2
j) |x+0,25|=3/4
k) |2x-6|=10

Answer 1

A) 7x-3=2 |+3
7x = 5 |:5
x = 1,4
b) 9x+5=4 |-5
9x=-9 |:9
x=-1
c) 2/3x+4=6 |-4
2/3x = 2 |*3/2
x= 3
d) 6-7/5x=1
-1/5x = 1
-0.2x = 1 |* -5
x=-5
e) x+4=14 |-4
x=10
f) x-100=1 |+100
x=101
g) x+7=0.05 |-7
x= -6.95
h) 10-x=4 |-10
-x = -6 |*-1
x=6
i) x-1/3=1/2 |+1/3
x=0.75
j) x+0,25=3/4 |-0,25
x=0,5
k) 2x-6|=10 |+6
2x=16 |:2
x=8

Proszę. : )

Answer 2

A)
|7x-3| = 2
7x-3 = 2 lub 7x-3 = -2
7x = 5 lub 7x = 1
x = ⁵/₇ lub x = ¹/₇

b)
|9x+5| = 4
9x+5 = 4 lub 9x+5 = -4
9x = -1 lub 9x = -9
x = -¹/₉ lub x = -1

c)
|2/3x+4| = 6
⅔x+4 = 6 lub ⅔x+4 = -6
⅔x = 2 lub ⅔x = -10
x = 3 lub x = -15

d)
|6-⁷/₅x| = 1
6-⁷/₅x = 1 lub 6-⁷/₅x = -1
⁷/₅x = 5 lub ⁷/₅x = 7
x = ²⁵/₇ lub x = 5

e)
|x+4| = 14
x+4 = 14 lub x+4 = -14
x = 10 lub x = -18

f)
|x-100| = 1
x-100 = 1 lub x-100 = -1
x = 101 lub x = 99

g)|
|x+7| = 0,05
x+7 = 0,05 lub x+7 = -0,05
x = -6,95 lub x = -7,05

h)
|10-x| = 4
10-x = 4 lub 10-x = -4
x = 6 lub x = 14

i)
|x-1/3|=1/2
x-⅓ = ½ lub x-⅓ = -½
x = ½ + ⅓ lub x = -½ + ⅓
x = ⁵/₆ lub x = -⅙

j)
|x+0,25|=3/4
x+0,25 = ¾ lub x+0,25 = -¾
x = ½ lub x = -1

k)
|2x-6|=10
2x-6 = 10 lub 2x-6 = -10
2x = 16 lub 2x = -4
x = 8 lub x = -2