Question

5) Resolva as equações:
a) 7(x – 5) = 3(x + 1)
b) 3(x - 2) = 4(-x + 3)
c)2(x + 1) - (x - 1) = 0
d) 5(x + 1) – 3(x + 2) = 0
e) 5x - 10 =
x+1
2
x+2
1) 257 = *
3​

Answer 1

Resposta:

a) x = 19/2

b) x = 18/7

c) x =  - 3

d) x = 1/2

Explicação passo-a-passo:

a) 7(x - 5) = 3(x + 1)

7x - 35 = 3x + 3

7x - 3x = 3 + 35

4x = 38

x = 38/4

x = 19/2

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

3x - 6 = -4x + 12

3x + 4x = 12 + 6

7x = 18

x = 18/7

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

2x + 2 - x + 1 = 0

2x - x + 2 + 1 = 0

x + 3 = 0

x = -3

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

5x + 5 - 3x - 6 = 0

5x - 3x + 5 - 6 = 0

2x - 1 = 0

2x = 1

x = 1/2