Question

01- Resolva as equações, isolando o x: a) 4x – 7 = 1 b) x + 2 = 5 c) 2y – 4 = 2 d) 2 a + 4 = - 6 e) - 2 + 5y = 13 f) x + 1 = 3 g) 2x - 3 = 8 h) 4 – 9x = 2 i) 3z - 7 = 1 j) 10 – 5x = - 6x + 8 k) 2x + 6 = - 3x + 1 l) 2y – 5 = 1 – 4y m) 15y – 2 + 3y = 7 n) - 2 + 3x + 2 = 3 o) 6y – 1 + 2y = 7y

Answer 1

Resposta:

a) x = 2

b) x = 3

c) y = 3

d) a = - 5

e) y = 3

f ) x = 2

g) x = 11/2

h) x = 2/9

i ) z = 8/3

j ) x = - 2

k) x = - 1

l ) y = 1

m) y = 1/2

n) x = 1

o) y = 1

Explicação passo a passo:

a) 4x – 7 = 1

4x = 1 + 7

4x = 8

x = 8 ÷ 4

x = 2

b) x + 2 = 5

x = 5 - 2

x = 3

c) 2y – 4 = 2

2y = 2 + 4

2y = 6

y = 6 ÷ 2

y = 3

d) 2a + 4 = - 6

2a + 4 + 6 = 0

2a + 10 = 0

2a = - 10

a = - 10 ÷ 2

a = - 5

e) - 2 + 5y = 13

5y = 13 + 2

5y = 15

y = 15 ÷ 5

y = 3

f) x + 1 = 3

x = 3 - 1

x = 2

g) 2x - 3 = 8

2x = 8 + 3

2x = 11

x = 11/2

h) 4 – 9x = 2

4 = 2 + 9x

4 - 2 = 9x

2 = 9x

9x = 2

x = 2/9

i) 3z - 7 = 1

3z = 1 + 7

3z = 8

z = 8/3

j) 10 – 5x = - 6x + 8

10 = 5x - 6x + 8

10 = - x + 8

10 + x = 8

x = 8 - 10

x = - 2

k) 2x + 6 = - 3x + 1

2x + 6 - 1 = - 3x

2x + 5 = - 3x

2x + 3x + 5 = 0

5x + 5 = 0

5x = - 5

x = - 5 ÷ 5

x = - 1

l) 2y – 5 = 1 – 4y

2y = 1 + 5 – 4y

2y = 6 – 4y

2y + 4y = 6

6y = 6

y = 6 ÷ 6

y = 1

m) 15y – 2 + 3y = 7

15y + 3y = 7 + 2

18y = 9

y = 9 ÷ 18

y = 1/2

n) - 2 + 3x + 2 = 3

3x = 3 + 2 - 2

3x = 3

x = 3 ÷ 3

x = 1

o) 6y – 1 + 2y = 7y

6y + 2y = 7y + 1

8y = 7y + 1

8y - 7y = 1

y = 1