Resolva as equações, sendo U = Q:
a) 4x – 1 = 3(x – 1)
b) 3(x – 2) = 2x - 4
c) 2(x – 1) = 3x + 4
d) 3(x – 1) – 7 = 15
e) 7(x – 4) = 2x - 3
f) 3(x – 2) = 4(3 – x)
g) 3(3x – 1) = 2(3x + 2)
h) 7(x – 2) = 5(x + 3)
i) 3(2x – 1) = -2(x + 3)
j) 5x – 3(x + 2) = 15
k) 2x + 3x + 9 = 8(6 – x)
l) 4(x + 10) – 2(x – 5) = 0
m) 3(2x + 3) – 4(x – 1) = 3
n) 7(x – 1) – 2(x – 5) = x - 5
o) 2(3 – x) = 3(x – 4) + 15
p) 3(5 – x) – 3(1 – 2x) = 42
q) 4x + 6 – 2x = x – 6 + 10 + 14
r) x – 3 – (x + 2) + 2(x – 1) – 5 = 0
s) 3x – 2(4x – 3) = 2 – 3(x – 1)
t) 3(x – 1) – (x – 3) + 5(x – 2) = 18
u) 5(x – 3) – 4(x + 2) = 2 + 3(1 – 2x). ajuda pelo menos umas 6 ou 5
Soluções para a tarefa
Resposta:Segue as contas abaixo na explicação em cada itens
Explicação passo-a-passo:
a) 4x – 1 = 3(x – 1) b) 3(x – 2) = 2x - 4 c) 2(x – 1) = 3x + 4
4x-1=3x-3 3x-6=2x-4 2x-2=3x+4
4x-3x=-3+1 3x-2x=-4+6 2x-3x=4+2
x=-2 x=2 -x=6(-1)
x=-6
d) 3(x – 1) – 7 = 15 e) 7(x – 4) = 2x - 3 f) 3(x – 2) = 4(3 – x)
3x-3-7=15 7x-28=2x-3 3x-6=12-4x
3x-10=15 7x-2x=-3+28 3x+4x=12+6
3x=15+10 5x=25 7x=18
3x=25 x=25/5 x=18/7
x=25/3 x=5
g) 3(3x – 1) = 2(3x + 2) h) 7(x – 2) = 5(x + 3) i) 3(2x – 1) = -2(x + 3)
9x-3=6x+4 7x-14=5x+15 6x-3=-2x-6
9x-6x=4+3 7x-5x=15+14 6x+2x=-6+3
3x=7 2x=29 8x=-3
x=7/3 x=29/2 x=-3/8
j) 5x – 3(x + 2) = 15 k) 2x + 3x + 9 = 8(6 – x) l) 4(x + 10) – 2(x – 5) = 0
5x-3x-6=15 5x+9=48-8x 4x+40-2x+10=0
2x-6=15 5x+8x=48-9 4x+50=0
2x=15+6 13x=39 4x=-50
2x=21 x=39/13 x=-50/4:2/2
x=21/2 x=3 x=-25/2
m) 3(2x + 3) – 4(x – 1) = 3 n) 7(x – 1) – 2(x – 5) = x - 5
6x+9-4x+4=3 7x-7-2x+10=x-5
2x+13=3 5x+3=x-5
2x=3-13 5x-x=-5-3
2x=-10 4x=-8
x=-10/2 x=-8/4
x=-5 x=-2
o) 2(3 – x) = 3(x – 4) + 15 p) 3(5 – x) – 3(1 – 2x) = 42
6-2x=3x-12+15 15-3x-3+6x=42
6-2x=3x+3 12+3x=42
-2x-3x=3-6 3x=42-12
-5x=-3(-1) 3x=30
5x=3 x=30/3
x=3/5 x=10
q) 4x + 6 – 2x = x – 6 + 10 + 14 r) x – 3 – (x + 2) + 2(x – 1) – 5 = 0
2x+6=x-6+24 x-3-x-2+2x-2-5=0
2x+6=x+18 2x-10=0
2x-x=18-6 2x=10
x=12 x=10/2
x=5
s) 3x – 2(4x – 3) = 2 – 3(x – 1) t) 3(x – 1) – (x – 3) + 5(x – 2) = 18
3x-8x+6=2-3x+3 3x-3-x+3+5x-10=18
-5x+6=5-3x 8x-x-10=18
-5x+3x=5-6 7x-10=18
-2x=-1(-1) 7x=18+10
2x=1 7x=28
x=1/2 x=28/7
x=4
u) 5(x – 3) – 4(x + 2) = 2 + 3(1 – 2x)
5x-15-4x-8=2+3-6x
x-23=5-6x
x+6x=5+23
7x=28
x=28/7
x=4