1.resolva as equações em z.
a) 6x = 2x + 16
b)2x - 5 = x + 1
c)2x + 3 = x + 4
d) 5x + 7 = 4x + 10
e) 4x - 10 = 2x + 2
f)4x - 7 = 8x - 2
g) 2x + 1 = 4x - 7
h) 9x +9 + 3x = 15
Soluções para a tarefa
a.
6x = 2x + 16
6x - 2x = 16
4x = 16
x = 16/4
x = 4
b.
2x - 5 = x + 1
2x - x = 1 + 5
x = 6
c.
2x + 3 = x + 4
2x - x = 4 - 3
x = 1
d.
5x + 7 = 4x + 10
5x - 4x = 10 - 7
x = 3
e.
4x - 10 = 2x + 2
4x - 2x = 2 + 10
2x = 12
x = 12/2
x = 6
f.
4x - 7 = 8x - 2
4x - 8x = - 2 + 7
- 4x = 5 . (- 1)
4x = - 5
x = - 5/4
g.
2x + 1 = 4x - 7
2x - 4x = - 7 - 1
- 2x = - 8 . (- 1)
2x = 8
x = 8/2
x = 4
h.
9x + 9 + 3x = 15
12x + 9 = 15
12x = 15 - 9
12x = 6
x = 6/12 : (6)
x = 1/2
Resposta:
A)x=4
B)x=6
C)x=1
D)x=3
E)x=6
F)x= - 5/4
G)x=4
H)x= 1/3
Explicação passo-a-passo:
A)6x=2x+16
6x=2x+16
6x-2x=16
6x-2x
(6-2)x
4x
6x-2x=16
4x=16
4x÷4=16÷4
x=16÷4
x=4
4x=16
x=4
resposta
x=4
B)2x-5=x+1
2x-5÷x+1
2x-5-x=1
2x-x=1+5
2x-x
(2-1)x
x
2x-x=1+5
x=1+5
x=6
resposta
x=6
C)2x+3=x+4
2x+3=x+4
2x+3-x=4
2x-x=4-3
2x-x
(2-+)x
x
2x-x=4-3
x=4-3
x=1
resposta
x=1
D)5x+7=4x+10
5x+7=4x+10
5x+7-4x=10
5x-4x=10-7
5x-4x
(5-4)x
x
5x-4x=10-7
x=10-7
x=3
resposta
x=3
E)4x-10=2x+4
4x-10=2x+4
4x-10-2x=2
4x-2x=2+10
4x-2x
(4-2)x
2x
4x-2x=2+10
2x=2+10
2x=12
2x÷2=12÷2
x=12÷2
x=6
2x=12
x=6
resposta
x=6
F)4x-7=8x-2
4x-7=8x-2
4x-7-8x=-2
4x-8x=-2+7
4x-8x
(4-8)x
-4x
4x-8x=-2+7
-4x=-2+7
-4x=5
-1×(-4)x=-1×5
4x=-1×5
4x=-5
-4x=5
4x=-5
4x÷4=-5÷4
x=-5÷4
x=- 5/4
4x=- 5
x= - 5/4
resposta
x=- 5/4
G)2x+1=4x-7
2x+1=4x-7
2x+1-4x=-7
2x-4x=-7-1
2x-4x
(2-4)x
-2x
2x-4x=-7-1
-2x-4x=-7-1
-7-1
-(7+1)
-8
-2x=-7-1
-2x=-8
2x=8
2x÷2=8÷2
x=8÷2
x=4
2x=8
x=4
resposta
x=4
H)9x+9+3x=15
9x+9+3x=15
9x+12=15
9x=15-12
9x=3
9x÷9=3÷9
x=3÷9
x= 1/3
9x=3
x= 1/3
resposta
x= 1/3