Question

Resolva as equações do 1º grau com uma incógnita:
a) 2x + 1 = 4x – 7

b) 9x + 9 + 3x = 15

c) 16x – 1 = 12x + 3

d) 3x – 2 = 4x + 9

e) 5x -3 + x = 2x + 9

f) 17x – 7x = x + 18

g) x + x – 4 = 17 – 2x + 1

h) x + 2x + 3 – 5x = 4x – 9

i) 5x + 6x – 16 = 3x + 2x - 4

j) 5x + 4 = 3x – 2x + 4


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Answer 1

a) 2x + 1 = 4x - 7

2x = 4x - 8

-2x = -8

2x = 8

x = 4.

b) 9x + 9 + 3x = 15

12x + 9 = 15

12x = 6

x = 6/12

x = 1/2.

c) 16x - 1 = 12x + 3

16x = 12x + 4

4x = 4

x = 1.

d) 3x - 2 = 4x + 9

3x = 4x + 11

-x = +11

x = -11.

e) 5x - 3 + x = 2x + 9

6x - 3 = 2x + 9

6x = 2x + 12

4x = 12

x = 3.

f) 17x - 7x = x + 18

10x = x + 18

9x = 18

x = 2.

g) x + x - 4 = 17 - 2x + 1

2x - 4 = 17 - 2x + 1

2x - 4 = 18 - 2x

2x = 22 - 2x

4x = 22

x = 11/2.

h) x + 2x + 3 - 5x = 4x - 9

3x + 3 - 5x = 4x - 9

-2x + 3 = 4x - 9

-2x = 4x - 12

-6x = -12

6x = 12

x = 2.

i) 5x + 6x - 16 = 3x + 2x - 4

11x - 16 = 3x + 2x - 4

11x - 16 = 5x - 4

11x = 5x + 12

6x = 12

x = 2.

j) 5x + 4 = 3x - 2x + 4

5x + 4 = x + 4

5x = x

4x = 0

x = 0.

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