Question

1) Resolva as equações, sendo U = Q:
a) 6x = 2x + 16
f) 4x – 7 = 8x – 2
b) 2x – 5 = x + 1
g) 2x + 1 = 4x – 7
c) 2x + 3 = x + 4
h) 9x + 9 + 3x = 15
d) 5x + 7 = 4x + 10
i) 16x – 1 = 12x + 3
e) 4x – 10 = 2x + 2
j) 3x - 2 = 4x + 9​

Answer 1

a) 6x = 2x + 16.

6x - 2x = 16.

4x = 16.

x = 16/4.

x = 4.

f) 4x - 7 = 8x - 2.

4x - 8x = -2 + 7.

-4x = 5.

4x = -5.

x = -5/4.

b) 2x - 5 = x + 1.

2x - x = 1 + 5.

x = 6.

g) 2x + 1 = 4x - 7.

2x - 4x = -7 - 1.

-2x = -8.

2x = 8.

x = 8/2.

x = 4.

c) 2x + 3 = x + 4.

2x - x = 4 - 3.

x = 1.

h) 9x + 9 + 3x = 15.

9x + 3x = 15 - 9.

12x = 6.

x = 6/12.

x = 1/2.

d) 5x + 7 = 4x + 10.

5x - 4x = 10 - 7.

x = 3.

i) 16x - 1 = 12x + 3.

16x - 12x = 3 + 1.

4x = 4.

x = 4/4.

x = 1.

e) 4x - 10 = 2x + 2.

4x - 2x = 2 + 10.

2x = 12.

x = 12/2.

x = 6.

j) 3x - 2 = 4x + 9.

3x - 4x = 9 + 2.

-x = 11.

x = -11.