Odpowiedź:
Szczegółowe wyjaśnienie:
14.
a) 1 - (3x-88)/7 = 5x / *7
7 - 3x + 88 = 35x
38x = 95
x = 95/38 = 2 19/38 = 2 1/2
b) -x/2 = 3x - (3+2x)/4 / *4
-2x = 12x - 3 - 2x
12x = 3
x = 3/12 = 1/4
c) 3 - 3x/2 = 5/8 - (4x-3)/6 / * 24
72 - 36x = 15 - 16x + 12
20x = 72 - 27
20x = 45
x = 45/20 = 9/4 = 2 1/4
d) (3-2x)/5 + 8 = (5x+2)/2 - x / *10
6 - 4x + 80 = 25x + 10 - 10x
19x = 76
x = 76/19 = 4
15
a) x/15 = 4/3
3x = 60
x = 20
b) (3-2x)/12 = 3/2
6 - 4x = 36
4x = -30
x = - 7,5
c) 6/(2-3x) = 3/7 x≠2/3
6/(2-3x) = 3/7 / * 7(2-3x)
42 = 3*(2-3x)
42 = 6 - 9x
9x = - 36
x = -4
d) 4/(1-x) = 3/(1+x) x≠1 , x≠-1
4/(1-x) = 3/(1+x) / *(1-x)(1+x)
4(1+x) = 3(1-x)
4 + 4x = 3 - 3x
7x = -1
x = -1/7
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Odpowiedź:
Szczegółowe wyjaśnienie:
14.
a) 1 - (3x-88)/7 = 5x / *7
7 - 3x + 88 = 35x
38x = 95
x = 95/38 = 2 19/38 = 2 1/2
b) -x/2 = 3x - (3+2x)/4 / *4
-2x = 12x - 3 - 2x
12x = 3
x = 3/12 = 1/4
c) 3 - 3x/2 = 5/8 - (4x-3)/6 / * 24
72 - 36x = 15 - 16x + 12
20x = 72 - 27
20x = 45
x = 45/20 = 9/4 = 2 1/4
d) (3-2x)/5 + 8 = (5x+2)/2 - x / *10
6 - 4x + 80 = 25x + 10 - 10x
19x = 76
x = 76/19 = 4
15
a) x/15 = 4/3
3x = 60
x = 20
b) (3-2x)/12 = 3/2
6 - 4x = 36
4x = -30
x = - 7,5
c) 6/(2-3x) = 3/7 x≠2/3
6/(2-3x) = 3/7 / * 7(2-3x)
42 = 3*(2-3x)
42 = 6 - 9x
9x = - 36
x = -4
d) 4/(1-x) = 3/(1+x) x≠1 , x≠-1
4/(1-x) = 3/(1+x) / *(1-x)(1+x)
4(1+x) = 3(1-x)
4 + 4x = 3 - 3x
7x = -1
x = -1/7