Odpowiedź:
1) -3e + 4 + e = 8 + 2e - 1
- 4e = 3
e = - 0,75
2) 2 + 6x - 9 = 14 - 4x + 3x
7x = 21
x = 3
3) 2 - 4d + 8d - 6 =-7d + 4 - 3d
14d = 8
[tex]d = \frac{8}{14} = \frac{4}{7}[/tex]
4) 9u - 3 + u - 2u - 1 = 3u - 9
5u = - 5
u = - 1
5) -2 - 4y + 6y + 9 = 2y - 3 - 4y
4y = - 10
y = - 2,5
6) 7(a - 2) = 21
7a - 14 = 21
7a = 35
a = 5
7) -2(3-2w) = 4
-6 + 4w = 4
4w = 10
w = 2,5
8) 6(2+3f) = -6
12 + 18f = - 6
18f = - 18
f = - 1
9) 3(4v-1) = 10
12v - 3 = 10
12v = 13
[tex]v = \frac{13}{12}[/tex]
a)
[tex] - 3e + 4 + e = 8 + 2e - 1 \\ - 2e - 2e = 7 - 4 \\ - 4e = 3 | \div ( - 4) \\ e = - \frac{3}{4} [/tex]
b)
[tex]2 + 6x - 9 = 14 - 4x + 3x \\ 6x + x = 14 + 7 \\ 7x = 21 | \div 7 \\ x = 3[/tex]
c)
[tex]2 - 4d + 8d - 6 = - 7d + 4 -3 d \\ 4d + 10d = 4 + 4 \\ 14d = 8 | \div 14 \\ d = \frac{8}{14} \\ d = \frac{4}{7} [/tex]
d)
[tex]9u - 3 + u - 2u - 1 = 3u - 9 \\ 8u - 3u = - 9 + 4 \\ 5u = - 5 | \div 5 \\ u = - 1[/tex]
e)
[tex] - 2 - 4y + 6y + 9 = 2y - 3 - 4y \\ 2y + 2y = - 3 - 7 \\ 4y = - 10 | \div 4 \\ y = - \frac{10}{4} \\ y = - 2.5[/tex]
f)
[tex]7(a - 2) = 21 \\ 7a - 14 = 21 \\ 7a = 35 | \div 7 \\ a = 5[/tex]
g)
[tex] - 2(3 - 2w) = 4 \\ - 6 + 4w = 4 \\ 4w = 10 | \div 4 \\ w = 2.5[/tex]
h)
[tex]6(2 + 3f) = - 6 \\ 12 + 18f = - 6 \\ 18f = - 18 | \div 18 \\ f = - 1[/tex]
i)
[tex]3(4v - 1) = 10 \\ 12v - 3 = 10 \\ 12v = 13 | \div 12 \\ v = \frac{13}{12} \\ v = 1 \frac{1}{12} [/tex]