a) 5(1 + y) = 3(2y – 2) – 20 b) 5(1 + y) = 3(2y – 2) – 20 c) 3(x + 4) + 2(x + 2) = 2x + 12 d) 2(x – 5) + 1 – 2x = 3(3–x) e) 4 (x + 6) – x = 5x f)18x – 43 = 65 g) 23x – 16 = 14 – 17x h) 2x + 6 = x + 18 i) 5x – 3 = 2x + 9 j) 3(2x – 3) + 2(x + 1) = 3x + 18 k) 2x + 3(x – 5) = 4x + 9 l) 2(x + 1) – 3(2x – 5) = 6x – 3
Respostas
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Explicação passo-a-passo:
a) 5(1 + y) = 3(2y – 2) – 20
5+5y=6y-6-20
5y-6y=-6-20-5
-y=-31 (-1)
Y=31
b) 5(1 + y) = 3(2y – 2) – 20
Idem a A
c) 3(x + 4) + 2(x + 2) = 2x + 12
3x+12+2x+4=2x+12
3x+2x-2x=12-12-4
3x=-4
X=-4/3
d) 2(x – 5) + 1 – 2x = 3(3–x)
2x-10+1-2x=9-3x
2x-2x+3x=9+10-1
3x=18
X=18/3
X=6
e) 4 (x + 6) – x = 5x
4x-24-x=5x
4x-x-5x=24
-2x==24
X=24/-2
X=-12
f)18x – 43 = 65
18x=65+43
18x=108
X=108/18
X=6
g) 23x – 16 = 14 – 17x
23x+17x=14+16
40x=30
X=30/40
h) 2x + 6 = x + 18
2x-x=18-6
X=12
i) 5x – 3 = 2x + 9
5x-2x=9+3
3x=12
X=12/3
X=4
j) 3(2x – 3) + 2(x + 1) =
3x + 18
6x-9+2x+2=3x+18
6x+2x-3x=18+9-2
5x=25
X=25/5
X=5
k) 2x + 3(x – 5) = 4x + 9
2x+3x-15=4x+9
2x+3x-4x=9+15
X=24
l) 2(x + 1) – 3(2x – 5) = 6x – 3
2x+2-6x+15=6x-3
2x-6x-6x=-3-2-15
-10x=-20
X=-20/-10 (-1)
X=20/10
X=2
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