Odpowiedź :
Odpowiedź:
[tex]a)\\\\\frac{12-x}{4}=\frac{x+4}{12}\\\\12(12-x)=4(x+4)\\\\144-12x=4x+16\\\\-12x-4x=16-144\\\\-16x=-128\ \ |:(-16)\\\\x=8\\\\\\b)\\\\\frac{3x-2}{4}=\frac{4x-5}{3}\\\\3(3x-2)=4(4x-5)\\\\9x-6=16x-20\\\\9x-16x=-20+6\\\\-7x=-14\ \ |:(-7)\\\\x=2[/tex]
[tex]c)\\\\\frac{x-3}{6}=2(3x+1)\\\\\frac{x-3}{6}=6x+2\ \ |\cdot6\\\\x-3=36x+12\\\\x-36x=12+3\\\\-35x=15\ \ |:(-35)\\\\x=-\frac{15}{35}\\\\x=-\frac{3}{7}\\\\\\d)\\\\3(1-\frac{x}{3})=\frac{5x-1}{9}\\\\3-x=\frac{5x-1}{9}\ \ |\cdot9\\\\27-9x=5x-1\\\\-9x-5x=-1-27\\\\-14x=-28\ \ |:(-14)\\\\x=2[/tex]
Odpowiedź:
a)
(12 - x)/4 = (x + 4)/12
12(12 - x) = 4(x + 4)
144 - 12x = 4x + 16
- 12x - 4x = 16 - 144
- 16x = - 128
16x = 128
x = 128/16 = 8
b)
(3x - 2)/4 = (4x - 5)/3
3(3x - 2) = 4(4x - 5)
9x - 6 = 16x - 20
9x - 16x = - 20 + 6
- 7x = - 14
7x = 14
x = 14/7 = 2
c)
(x - 3)/6 = 2(3x + 1)
x - 3 = 6 * 2(3x + 1)
x - 3 = 12(3x + 1)
x- 3 = 36x + 12
x - 36x = 12 + 3
- 35x = 15
35x = - 15
x = - 15/35 = - 3/7
d)
3(1 - x/3) = (5x - 1)/9
9*3(1 - x/3 ) = 5x - 1
27(1 - x/3) = 5x - 1
27 - 27x/3 = 5x - 1
27 - 9x = 5x - 1
- 9x - 5x = - 1 - 27
- 14x = - 28
14x = 28
x = 28/14 = 2