Rozwiąż równanie.
b) 7x/2+ 2x/3=11x = 13i 2/3 ma wyjśc : -2
c) 2,5x-2/2=8x+0,5/7 ma wyjsc:10
e)4/9x - 2 = 5/12x - 1 i 1/3 ma wyjsc: 24
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b) 7x/2+ 2x/3-11x = 13i 2/3 /·6
6 ·(7x/2) +6·(2x/3) -66x = 6·(41/3 )
21x+4x-66x = 82
-41x=82 /:(-41)
x=-2
c)(2,5x-2)/2=(8x+0,5)/7 /·14
7·(2,5x-2) =2·(8x+0,5)
17,5x -14=16x+1
17,5x -16x =1+14
1,5x =15 /;(1,5)
x=10
e)4/9x-2 =5/12x -1⅓
4/9x -2 =5/12x -4/3 /·36
36 ·4/9x-36·2 =36·5/12 x -48
16x -72 =15x -48
16x-15x=-48+72
x=24
b)
7x/2 + 2x/3 = 11x + 13²/₃
²¹/₆x+⁴/₆x=11x+13²/₃
²⁵/₆x=⁶⁶/₆x+13²/₃
-⁴¹/₆x=13²/₃
-41x=82
41x=-82
x=-2
c)
(2,5x-2)/2=(8x+0,5)/7
7(2,5x-2)=2(8x+0,5)
17,5x-14=16x+1
17,5x-16x=14+1
1,5x=15
x=10
e)
⁴/₉x - 2 = ⁵/₁₂x - 1¹/₃
¹⁶/₃₆x - 2 = ¹⁵/₃₆x - ⁴/₃
¹⁶/₃₆x-¹⁵/₃₆x=⁶/₃-⁴/₃
¹/₃₆x=²/₃
x=24