Odpowiedź:
d)
7x + 14 = 5x - 22
7x - 5x = - 22 - 14
2x = - 36 / : 2
x = - 18
spr. L = 7x + 14 = 7 * (- 18) + 14 = - 126 + 14 = - 112
P = 5x - 22 = 5 * (- 18) - 22 = - 90 - 22 = - 112
L = P
e)
2x - 4 + 5x= x + 2
2x + 5x - x = 2 + 4
6x = 6 /: 6
x = 1
spr. L = 2x - 4 + 5x = 2* 1 - 4 + 5 * 1 = 2 - 4 + 5 = 3
P = x + 2 = 1 + 2 = 3
f)
- 3 + 2x - 6 = 3 - 4x
2x + 4x = 3 + 3 + 6
6x = 12 /: 6
x = 2
spr. L = - 3 + 2x - 6 = - 3 + 2 * 2 - 6 = - 3 + 4 - 6 = - 5
P = 3 - 4x = 3 - 4 * 2 = 3 - 8 = - 5
g)
7x + 2 = 5 + 3x + 9
7x - 3x = 5 + 9 - 2
4x = 12 / : 4
x = 3
spr. L = 7x + 2 = 7 * 3 + 2 = 21 + 2 = 23
P = 5 + 3x + 9 = 5 + 3 * 3 + 9 =5 + 9 + 9 = 23
h)
- 5x + 12 + x = 2x - 12
- 5x + x - 2x = - 12 - 12
- 6x = - 24 /: (-6)
x = 4
spr. L = - 5x + 12 + x = - 5 * 4 + 12 + 4 = - 20 + 12 + 4 = - 4
P = 2x - 12 = 2 * 4 - 12 = 8 - 12 = - 4
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Odpowiedź:
d)
7x + 14 = 5x - 22
7x - 5x = - 22 - 14
2x = - 36 / : 2
x = - 18
spr. L = 7x + 14 = 7 * (- 18) + 14 = - 126 + 14 = - 112
P = 5x - 22 = 5 * (- 18) - 22 = - 90 - 22 = - 112
L = P
e)
2x - 4 + 5x= x + 2
2x + 5x - x = 2 + 4
6x = 6 /: 6
x = 1
spr. L = 2x - 4 + 5x = 2* 1 - 4 + 5 * 1 = 2 - 4 + 5 = 3
P = x + 2 = 1 + 2 = 3
L = P
f)
- 3 + 2x - 6 = 3 - 4x
2x + 4x = 3 + 3 + 6
6x = 12 /: 6
x = 2
spr. L = - 3 + 2x - 6 = - 3 + 2 * 2 - 6 = - 3 + 4 - 6 = - 5
P = 3 - 4x = 3 - 4 * 2 = 3 - 8 = - 5
L = P
g)
7x + 2 = 5 + 3x + 9
7x - 3x = 5 + 9 - 2
4x = 12 / : 4
x = 3
spr. L = 7x + 2 = 7 * 3 + 2 = 21 + 2 = 23
P = 5 + 3x + 9 = 5 + 3 * 3 + 9 =5 + 9 + 9 = 23
L = P
h)
- 5x + 12 + x = 2x - 12
- 5x + x - 2x = - 12 - 12
- 6x = - 24 /: (-6)
x = 4
spr. L = - 5x + 12 + x = - 5 * 4 + 12 + 4 = - 20 + 12 + 4 = - 4
P = 2x - 12 = 2 * 4 - 12 = 8 - 12 = - 4
L = P
Szczegółowe wyjaśnienie: