Question

Rozwiąż równania:
a) 6x - (10 - 2x)= 3x + 5
b) 8 - (4x - 12)= 8x - (3x + 2)
c) 3/4 (x - 5) + x = x
d) 7 (x + 2) - x= 5 (x - 2)
e) - (x - 2) + 3 (x - 1) + 2= 0
f) 2 (x + 1/2) - 2/3 (3- 6x)= x + 2
g) 5x - 6 (x + 7)= 8x - 9(10 + x)
Proszę o pomoc! Dam naj! ;]

Answer 1

a)6x - (10 - 2x) = 3x + 5
6x – 10 + 2x = 3x + 5
8x - 3x = 10 + 5
5x = 15  |:5
x = 3

b)8 - (4x - 12) = 8x - (3x + 2)
8 - 4x + 12 = 8 - 3x - 2
-4x + 3x - 8x = -8 – 12 – 2
-9x = -22  |:(-9)
x = 22/9 = 2  4/9

c)3/4(x - 5) + x = x
3/4x - 15/4 + x = x
3/4x + x – x = 15/4
3/4x = 15/4   |*4
3x = 15 |:3
x = 5

d)7(x + 2) – x = 5 (x - 2)
7x + 14 – x = 5x - 10
6x - 5x = - 24
x = -24

e) -(x - 2) + 3(x - 1) + 2 = 0
-x + 2 + 3x – 3 + 2 = 0
2x = -1  |:2
x = -1/2

f)2(x + 1/2) - 2/3(3 - 6x) = x + 2
2x + 1 – 2 + 4x = x + 2
6x – 1 = x + 2
6x – x = 2 + 1
5x=3  |:5
x=3/5

g)5x - 6(x + 7) = 8x - 9(10 + x)
5x - 6x - 42=8x - 90 - 9x
-x + 9x – 8x = 42 - 90
0 = - 48 (sprzeczność)