Question

14. Resolva as seguintes equações:
a) 2x + 5 -5x = -1

b) 5+ 6x = 500 + 2

c) x + 2.0-1-3 = x

d) – 3x+10= 2x+8+1

e) 5x -5 +6=9+20

f) 73–4–0 = -2m +8 -330

g) - -5+4x = -7x+ 6x +15

h) 3x – 2y = 3a + 2

i) 2_4x = 32 -180 + 12

j) 2001 = 3+* +4

k) 2x +350 + 9 = 48 800

D) 3x-2-20_3=0

m) 10-9x + 2x = 2–3r

n 40 – 4-5x = -6 +90

o) 2-3x = -2x +12–3x

p) 7(x–5)=3(x+1)

q) 3(x-2)=4-x+3)

6) 2(x+1)-(x-1)=0

s) 5(x+1)-3(x + 2) = 0

1) 13+4(2x-1)= 5(x+2)

u) 4(x+5)+3(x+5)= 21

v) 2(30 + 5)-3(5 - x)=10

w) 8(x-1)=8-4(2.x-3)

x) 5(x-3)-4(x + 2) = 2 +3(1 - 2x)​

Answer 1

a) 2x + 5 -5x = -1

2x - 5x = - 1 - 5

- 3x = - 6

3x = 6

x = 6 / 3 = 2

b) 5+ 6x = 500 + 2

6x = 500 + 2 - 5

6x = 500 - 3

6x = 497

x = 497 / 6 = 82,833...

c) x + 2.0-1-3 = x

x + 0 - 1 - 3 = x

x - 4 = x

x - x = 4

= 0

d) – 3x+10= 2x+8+1

- 3x - 2x = 8 + 1 - 10

- 5x = 9 - 10

- 5x = - 1

5x = 1

x = 1 / 5 = 0,2

e) 5x -5 +6=9+20

5x = 9 + 20 - 6 + 5

5x = 29 - 1

5x = 28

x = 28 / 5 = 5,6

f) 73–4–0 = -2m +8 -330

2m = 8 - 330 + 4 - 73

2m = - 312 - 69

2m = - 381

m = - 381 / 2 = - 190,5

g) - -5+4x = -7x+ 6x +15

4x + 7x - 6x = 15 + 5

4x + x = 20

5x = 20

x = 20 / 5 = 4

h)

i)

i) j)

i) j) k) 2x +350 + 9 = 48 800

2x = 48 800 - 9 - 350

2x = 48 441

x = 48 441 / 2 = 24 220,5

D)

m)

m)n) 40 – 4-5x = -6 +90

- 5x = - 6 + 90 + 4 - 40

- 5x = 84 - 36

- 5x = 48

5x = - 48

x = - 48 / 5 = 9,6

o) 2-3x = -2x +12–3x

- 3x + 3x + 2x = 12 - 2

2x = 10

x = 10 / 2 = 5

p) 7(x–5)=3(x+1)

7x - 35 = 3x + 3

7x - 3x = 3 + 35

4x = 38

x = 38 / 4 = 9,5

q) 3(x-2)= 4(-x+3)

3x - 6 = - 4x + 12

3x + 4x = 12 + 6

7x = 18

x = 18 / 7 = aprox. 2,57

6) 2(x+1)-(x-1)=0

2x + 2 - x + 1 = 0

2x - x = - 1 + 2

x = 1

s) 5(x+1)-3(x + 2) = 0

5x + 5 - 3x + 6 = 0

5x - 3x = - 5 - 6

2x = - 11

x = - 11 / 2 = - 5,5

1) 13+4(2x-1)= 5(x+2)

13 + 8x - 4 = 5x + 10

8x - 5x = 10 + 4 - 13

3x = 6 - 13

3x = 7

x = 7 / 3 = 2,33...

u) 4(x+5)+3(x+5)= 21

4x + 20 + 3x + 15 = 21

4x + 3x = 21 - 15 - 20

7x = 1 - 15

7x = - 14

x = - 14 / 7 = - 2

v) 2(30 + 5)-3(5 - x)=10

60 + 10 - 15 + 3x = 10

3x = 10 - 10 + 15 - 60

3x = - 45

x = - 45 / 3 = - 15

w)

w) x) 5(x-3)-4(x + 2) = 2 +3(1 - 2x)

5x - 15 - 4x - 8 = 2 + 3 - 6x

5x - 4x + 6x = 2 + 3 + 8 + 15

x + 6x = 13 + 15

7x = 28

x = 28 / 7 = 4