Equações:
a) 2x/3 = -10
b) 3x/4 = 30
c) 2x/5 = -18
d) 2x + 1 = 4x – 7
e) 9x + 9 + 3x = 15
f) 16x – 1 = 12x + 3
g) 17x – 7x = x + 18
h) x + x – 4 = 17 – 2x + 1
i) x + 2x + 3 – 5x = 4x – 9
j) 5x + 6x – 16 = 3x + 2x - 4
k) 5x + 4 = 3x – 2x + 4
l) 3( x – 2) = 2x – 4
m) 3 ( x –2) = 4(3 – x)
n) 2 (3 – x ) = 3 ( x -4) + 15
o) 3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
p) 5 + 6x = 5x + 2
q) 2x - 1 = -3 + x + 4
r) 3x - 2 - 2x - 3 = 0
s) 10 - 9x + 2x = 2 - 3x
t) 4x - 4 - 5x = -6 + 90
u) 2 - 3x = -2x + 12 - 3x
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Soluções para a tarefa
Respondido por
13
Letra a :
2x = -10
3
2x = (-10) . 3
2x = -30
x = -30 / 2
x = -15
Letra b :
3x = 30
4
3x = 30 . 4
3x = 120
x = 120 / 3
x = 40
Letra c :
2x = -18
5
2x = (-18) . 5
2x = (-90)
x = -90 / 2
x = -45
Letra d :
2x + 1 = 4x - 7
2x - 4x = -7 - 1
-2x = -8
x = -8 / -2
x = 4
Letra e :
9x + 9 + 3x = 15
9x + 3x = 15 - 9
12x = 6
x = 6 / 12
x = 2 / 4 = 1/2
Letra f :
16x - 1 = 12x + 3
16x - 12x = 3 + 1
4x = 4
x = 4/4
x = 1
Letra g :
17x - 7x = x + 18
17x - 7x - x = 18
9x = 18
x = 18 / 9
x = 2
Letra h :
x + x - 4 = 17 - 2x + 1
x + x + 2x = 17 + 1 + 4
4x = 22
x = 22 / 4
x = 11 / 2
Letra i :
x + 2x + 3 – 5x = 4x – 9
x + 2x - 5x - 4x = -9 - 3
- 6 x = -12
x = -12 / -6
x = 2
Letra j :
5x + 6x – 16 = 3x + 2x - 4
5x + 6x - 3x - 2x = -4 + 16
6x = 12
x = 12 / 6
x = 2
Letra k :
5x + 4 = 3x – 2x + 4
5x - 3x + 2x = 4 - 4
4x = 0
x = 0 / 4
x = 0
Letra l :
3( x – 2) = 2x – 4
3x - 6 = 2x - 4
3x - 2x = -4 + 6
x = 2
Letra m :
3 ( x –2) = 4(3 – x)
3x - 6 = 12 - 4x
3x + 4x = 12 + 6
7x = 18
x = 18 / 7
Letra n :
2 (3 – x ) = 3 ( x -4) + 15
6 - 2x = 3x - 12 + 15
- 2x - 3x = - 12 + 15 - 6
-5x = -3
x = -3/-5
x = 3 / 5
Letra o :
3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
3x - 8x - 6 = 2 - 3x - 3
3x +3x -8x = 2 +3 -6
6x -8x = -1
-2x = -1
x = -1 / -2
x = 1/2
Letra p :
5 + 6x = 5x + 2
6x - 5x = 2 - 5
x = -3
Letra q :
2x - 1 = -3 + x + 4
2x - x = -3 + 4 + 1
x = 2
Letra r :
3x - 2 - 2x - 3 = 0
3x - 2x = 0 + 2 + 3
x = 5
Letra s :
10 - 9x + 2x = 2 - 3x
-9x + 2x + 3x = 2 - 10
-4x = -8
x = - 8 / -4
x = 8 / 4 = 4 / 2 = 2 / 1 = 2
Letra t :
4x - 4 - 5x = -6 + 90
4x - 5x = -6 + 90 + 4
-x = 88
x = - 88
Letra u :
2 - 3x = -2x + 12 - 3x
- 3x + 2x + 3x = 12 - 2
2x = 10
x = 10 / 2
x = 5
2x = -10
3
2x = (-10) . 3
2x = -30
x = -30 / 2
x = -15
Letra b :
3x = 30
4
3x = 30 . 4
3x = 120
x = 120 / 3
x = 40
Letra c :
2x = -18
5
2x = (-18) . 5
2x = (-90)
x = -90 / 2
x = -45
Letra d :
2x + 1 = 4x - 7
2x - 4x = -7 - 1
-2x = -8
x = -8 / -2
x = 4
Letra e :
9x + 9 + 3x = 15
9x + 3x = 15 - 9
12x = 6
x = 6 / 12
x = 2 / 4 = 1/2
Letra f :
16x - 1 = 12x + 3
16x - 12x = 3 + 1
4x = 4
x = 4/4
x = 1
Letra g :
17x - 7x = x + 18
17x - 7x - x = 18
9x = 18
x = 18 / 9
x = 2
Letra h :
x + x - 4 = 17 - 2x + 1
x + x + 2x = 17 + 1 + 4
4x = 22
x = 22 / 4
x = 11 / 2
Letra i :
x + 2x + 3 – 5x = 4x – 9
x + 2x - 5x - 4x = -9 - 3
- 6 x = -12
x = -12 / -6
x = 2
Letra j :
5x + 6x – 16 = 3x + 2x - 4
5x + 6x - 3x - 2x = -4 + 16
6x = 12
x = 12 / 6
x = 2
Letra k :
5x + 4 = 3x – 2x + 4
5x - 3x + 2x = 4 - 4
4x = 0
x = 0 / 4
x = 0
Letra l :
3( x – 2) = 2x – 4
3x - 6 = 2x - 4
3x - 2x = -4 + 6
x = 2
Letra m :
3 ( x –2) = 4(3 – x)
3x - 6 = 12 - 4x
3x + 4x = 12 + 6
7x = 18
x = 18 / 7
Letra n :
2 (3 – x ) = 3 ( x -4) + 15
6 - 2x = 3x - 12 + 15
- 2x - 3x = - 12 + 15 - 6
-5x = -3
x = -3/-5
x = 3 / 5
Letra o :
3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
3x - 8x - 6 = 2 - 3x - 3
3x +3x -8x = 2 +3 -6
6x -8x = -1
-2x = -1
x = -1 / -2
x = 1/2
Letra p :
5 + 6x = 5x + 2
6x - 5x = 2 - 5
x = -3
Letra q :
2x - 1 = -3 + x + 4
2x - x = -3 + 4 + 1
x = 2
Letra r :
3x - 2 - 2x - 3 = 0
3x - 2x = 0 + 2 + 3
x = 5
Letra s :
10 - 9x + 2x = 2 - 3x
-9x + 2x + 3x = 2 - 10
-4x = -8
x = - 8 / -4
x = 8 / 4 = 4 / 2 = 2 / 1 = 2
Letra t :
4x - 4 - 5x = -6 + 90
4x - 5x = -6 + 90 + 4
-x = 88
x = - 88
Letra u :
2 - 3x = -2x + 12 - 3x
- 3x + 2x + 3x = 12 - 2
2x = 10
x = 10 / 2
x = 5
Respondido por
11
a) 2x/3 = -10 multiplicando em cruz
2x = 3.(-10)
2x = -30
x = -30/2
x = -15
b) 3x/4 = 30
3x = 30.4
3x = 120
x = 120/3
x = 40
c) 2x/5 = -18
2x = 5.(-18)
2x = -90
x = -90/2
x = -45
d) 2x + 1 = 4x – 7
2x -4x = -7 -1
-2x = -8.(-1)
2x = +8
x = 8/2
x = 4
e) 9x + 9 + 3x = 15
9x +3x = 15 -9
12x = 6
x= 6/12 simplificando 6 e 12 por 6
x= 1/2
f) 16x – 1 = 12x + 3
16x -12x = 3 +1
4x = 4
x = 4/4
x = 1
g) 17x – 7x = x + 18
17x -7x -x = 18
17x - 8x = 18
9x = 18
x = 18/9
x = 2
h) x + x – 4 = 17 – 2x + 1
x +x +2x = 17 +1 +4
4x = 22
x = 22/4 simplificando 22 e 4 por 2
x= 11/2
i) x + 2x + 3 – 5x = 4x – 9
x+2x -5x-4x = -9 -3
3x -9x = -12
-6x = -12.(-1)
6x = 12
x = 12/6
x= 2
j) 5x + 6x – 16 = 3x + 2x - 4
5x +6x -3x -2x = -4 +16
11x -5x = + 12
6x = 12
x = 12/6
x = 2
k) 5x + 4 = 3x – 2x + 4
5x+ 2x -3 x = 4 -4
7x -3x = 0
4x = 0
x =0/4
x = 0
l) 3( x – 2) = 2x – 4
3x -6 = 2x -4
3x -2x = -4 +6
x = +2
m) 3 ( x –2) = 4(3 – x)
3x -6 = 12 -4x
3x +4x = 12 +6
7x = 18
x= 18/7
n) 2 (3 – x ) = 3 ( x -4) + 15
6 -2x = 3x -12 +15
-2x -3x = -12 -6 +15
-5x = -18 +15
-5x = -3.(-1)
5x= 3
x= 3/5
o) 3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
3x -8x +6 = 2 -3x +3
3x +3x -8x = 2 +3 -6
6x -8x = 5 -6
-2x = -1.(-1)
2x = +1
x= 1/2
p) 5 + 6x = 5x + 2
6x -5x = 2 -5
x = -3
q) 2x - 1 = -3 + x + 4
2x -x = -3 +4+1
x = -3 +5
x = +2
r) 3x - 2 - 2x - 3 = 0
3x -2x = +2+3
x = 5
s) 10 - 9x + 2x = 2 - 3x
-9x +2x +3x = 2 -10
-9x +5x = -8
-4x = -8.(-1)
4x= 8
x= 8/4
x=2
t) 4x - 4 - 5x = -6 + 90
4x -5x = 90 +4 -6
-x = 94 -6
-x = 88.(-1)
x = -88
u) 2 - 3x = -2x + 12 - 3x
-3x +2x+3x = 12 -2
-3x +5x = 10
2x = 10
x= 10/2
x= 5
2x = 3.(-10)
2x = -30
x = -30/2
x = -15
b) 3x/4 = 30
3x = 30.4
3x = 120
x = 120/3
x = 40
c) 2x/5 = -18
2x = 5.(-18)
2x = -90
x = -90/2
x = -45
d) 2x + 1 = 4x – 7
2x -4x = -7 -1
-2x = -8.(-1)
2x = +8
x = 8/2
x = 4
e) 9x + 9 + 3x = 15
9x +3x = 15 -9
12x = 6
x= 6/12 simplificando 6 e 12 por 6
x= 1/2
f) 16x – 1 = 12x + 3
16x -12x = 3 +1
4x = 4
x = 4/4
x = 1
g) 17x – 7x = x + 18
17x -7x -x = 18
17x - 8x = 18
9x = 18
x = 18/9
x = 2
h) x + x – 4 = 17 – 2x + 1
x +x +2x = 17 +1 +4
4x = 22
x = 22/4 simplificando 22 e 4 por 2
x= 11/2
i) x + 2x + 3 – 5x = 4x – 9
x+2x -5x-4x = -9 -3
3x -9x = -12
-6x = -12.(-1)
6x = 12
x = 12/6
x= 2
j) 5x + 6x – 16 = 3x + 2x - 4
5x +6x -3x -2x = -4 +16
11x -5x = + 12
6x = 12
x = 12/6
x = 2
k) 5x + 4 = 3x – 2x + 4
5x+ 2x -3 x = 4 -4
7x -3x = 0
4x = 0
x =0/4
x = 0
l) 3( x – 2) = 2x – 4
3x -6 = 2x -4
3x -2x = -4 +6
x = +2
m) 3 ( x –2) = 4(3 – x)
3x -6 = 12 -4x
3x +4x = 12 +6
7x = 18
x= 18/7
n) 2 (3 – x ) = 3 ( x -4) + 15
6 -2x = 3x -12 +15
-2x -3x = -12 -6 +15
-5x = -18 +15
-5x = -3.(-1)
5x= 3
x= 3/5
o) 3x -2 ( 4x – 3 ) = 2 – 3( x – 1)
3x -8x +6 = 2 -3x +3
3x +3x -8x = 2 +3 -6
6x -8x = 5 -6
-2x = -1.(-1)
2x = +1
x= 1/2
p) 5 + 6x = 5x + 2
6x -5x = 2 -5
x = -3
q) 2x - 1 = -3 + x + 4
2x -x = -3 +4+1
x = -3 +5
x = +2
r) 3x - 2 - 2x - 3 = 0
3x -2x = +2+3
x = 5
s) 10 - 9x + 2x = 2 - 3x
-9x +2x +3x = 2 -10
-9x +5x = -8
-4x = -8.(-1)
4x= 8
x= 8/4
x=2
t) 4x - 4 - 5x = -6 + 90
4x -5x = 90 +4 -6
-x = 94 -6
-x = 88.(-1)
x = -88
u) 2 - 3x = -2x + 12 - 3x
-3x +2x+3x = 12 -2
-3x +5x = 10
2x = 10
x= 10/2
x= 5
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