Question

3) Determine a raiz das equações: a) 4x – 6 = 22 b) 9 – x = 2x c) 8 + 4x = 6x – 4 d) 3x + 1 = x + 9 e) 4x – 11 = 7 – 2x f) 13x + 1 – 10x = 5 + x g) 2. (x + 3) – 5 = x + 5 h) 6y + 3. (4 – y) = 2y + 15 i) 4. (a + 1) = 5 + 3. ( 2 – a) j) 3. (5 + 3y) + 5. (-y – 1) = 22

Answer 1

Resposta:

Explicação passo-a-passo:

a) 4x – 6 = 22

4x = 22 + 6

4x = 28

x = 28/4

x = 7

b) 9 – x = 2x

- x - 2x = - 9

- 3x = - 9      (- 1)

3x = 9

x = 9/3

x = 3

c) 8 + 4x = 6x – 4

4x - 6x = - 4 - 8

- 2x = - 12       (- 1)

2x = 12

x = 12/2

x = 6

d) 3x + 1 = x + 9

3x - x = 9 -1

2x = 8

x = 8/2

x = 4  

e) 4x – 11 = 7 – 2x

4x + 2x = 7 + 11

6x = 18

x = 18/6

x = 3

f) 13x + 1 – 10x = 5 + x

13x - 10x - x = 5 - 1

13x - 11x = 4

2x = 4

x = 4/2

x = 2

g) 2. (x + 3) – 5 = x + 5

2x + 6 - 5 = x + 5

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

h) 6y + 3. (4 – y) = 2y + 15

6y + 12 - 3y = 2y + 15

6y - 3y - 2y = 15 - 12

6y - 5y = 3

y = 3

i) 4. (a + 1) = 5 + 3. ( 2 – a)

4a + 4 = 5 + 6 - 3a

4a + 4 = 11 - 3a

4a + 3a = 11 - 4

7a = 7

a = 7/7

a = 1

j) 3. (5 + 3y) + 5. (-y – 1) = 22

15 + 9y - 5y - 5 = 22

4y + 10 = 22

4y = 22 - 10

4y = 12

y = 12/4

y = 3