Question

3) Resolva as equações do 1° grau, U = Q
a) 3x +14 = -2x +29
b) 8x-9 = 2x +11
c) 3 (2x - 5) = 9-2X
d) 4(2x - 3) = 5(x + 3)
e) 2(3x - 4) = -(x +2)​

Answer 1

a) 15/5

3x + 14 = -2x + 29

3x + 2x = 29 - 14

5x = 15

x = 15/5

b)  20/6

8x - 9 = 2x + 11

8x - 2x = 11 + 9

6x = 20

x = 20/6

c) 24/8

3 * ( 2x - 5) = 9 - 2x

6x - 15 = 9 - 2x

6x = 9 - 2x + 15

6x = -2x + 9 + 15

6x = -2x + 24

6x + 2x = 24

8x = 24

x = 24/8

d) 27/3

4 * (2x - 3) = 5 * (x + 3)

8x - 12 = 5x + 15

8x = 5x + 15 + 12

8x = 5x + 27

8x - 5x = 27

3x = 27

x = 27/3

e) 10/7

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

6x - 8 = (-x + 2)

6x = -x + 2 + 8

6x = -x + 10

6x + x = 10

7x = 10

x = 10/7