Odpowiedź :
Odpowiedź:
a) 1/2x-4=x-6
-1/2x=-2 /*(-2)
x=4
b) x-5=1/3x+1
2/3x=6 /*3
2x=18
x=9
c) 1/4x-1/4=2 /*4
x-1=2
x=3
d) 1/5x-3=x+1/5 /*5
x-15=5x+1
-4x=16
x=-4
e) 5/6x-5/6=4 /*6
5x-5=24
5x=29
x=5 4/5
Rozwiąż równania - zadanie 12 [215]
a) [tex]\frac{1}{2}[/tex]x - 4 = x - 6 | *2
x - 8 = 2x - 12
x - 2x = -12+8
-x = -4 | *(-1)
x = 4
b) x - 5 = [tex]\frac{1}{3}[/tex]x + 1 | *3
3x - 15 = x + 3
3x - x = 3 + 15
2x = 18 | : 2
x = 9
c) [tex]\frac{x}{4}[/tex] - [tex]\frac{1}{4}[/tex] = 2 | *4
x - 1 = 8
x = 8 + 1
x = 9
d) [tex]\frac{x}{5}[/tex] - 3 = x + [tex]\frac{1}{5}[/tex] | *5
x - 15 = 5x + 1
x - 5 x = 1 + 15
-4x = 16 | *(-4)
x = -4
e) [tex]\frac{5}{6}[/tex] (x - 1) = 4 | *6
5 (x - 1) = 24
5x - 5 = 24
5x = 24 + 5
5x = 29 | :5
x = [tex]\frac{29}{5}[/tex]
x = 5 [tex]\frac{4}{5}[/tex]