Odpowiedź:
e)
(3x - 5)/2 - (5x - 1)/10 = 0
3/2x - 5/2 - 1/2x + 1/10 = 0
x - 2 1/2 + 5/10 = 0
x = 2 5/10 - 5/10 = 2
f)
x/2 = 2/5(4 - x) - 4
1/2x = 8/5 - 2/5x - 4
1/2x + 2/5x = -4 + 1 3/5
5/10x + 4/10x = -2 2/5
9/10x = -12/5 /*10/9
x = -12/5 * 10/9 = -8/3 = -2 2/3
g)
(2x - 1)/5 - (x - 2)/2 = 0,7x
2/5x - 1/5 - 1/2x + 1 = 0,7x
0,4x - 0,7x = 0,2 - 1
-0,3x = -0,8 /:(-0,3)
x = 4/5 : 3/10 = 4/5 * 10/3 = 8/3 = 2 2/3
h)
2x - (3x + 5)/4 = -1/4x - 1
2x - 3/4x - 5/4 = -1/4x - 1
1 1/4x + 1/4x = -1 + 1 1/4
1 1/2x = 1/4
3/2x = 1/4 /*2/3
x = 1/4 * 2/3 = 1/6
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Odpowiedź:
e)
(3x - 5)/2 - (5x - 1)/10 = 0
3/2x - 5/2 - 1/2x + 1/10 = 0
x - 2 1/2 + 5/10 = 0
x = 2 5/10 - 5/10 = 2
f)
x/2 = 2/5(4 - x) - 4
1/2x = 8/5 - 2/5x - 4
1/2x + 2/5x = -4 + 1 3/5
5/10x + 4/10x = -2 2/5
9/10x = -12/5 /*10/9
x = -12/5 * 10/9 = -8/3 = -2 2/3
g)
(2x - 1)/5 - (x - 2)/2 = 0,7x
2/5x - 1/5 - 1/2x + 1 = 0,7x
0,4x - 0,7x = 0,2 - 1
-0,3x = -0,8 /:(-0,3)
x = 4/5 : 3/10 = 4/5 * 10/3 = 8/3 = 2 2/3
h)
2x - (3x + 5)/4 = -1/4x - 1
2x - 3/4x - 5/4 = -1/4x - 1
1 1/4x + 1/4x = -1 + 1 1/4
1 1/2x = 1/4
3/2x = 1/4 /*2/3
x = 1/4 * 2/3 = 1/6
Szczegółowe wyjaśnienie: