Question

holaa, me podrían ayudar a resolver las siguientes ecuaciones?
1) 7x – 18 = 5 ( x + 2)
2) 2x + 22 – 3x = 4 + 8x
3) 5 ( 2x – 1) + 3 ( x – 2) = 10 ( x +1)
4) 10² + 8 = 12 h - 6²
5) b : 5 + √108 − 27 = 3² + 3
6) 3 k – 2²:2 + 4 = 21 - √49

Answer 1

Explicación paso a paso:

1) 7x - 18 =5(x + 2)

7x - 18 = 5x + 10

7x - 5x = 18 + 10

2x = 28

x = 14

2) 2x + 22 - 3x = 4 + 8x

22 - x = 4 + 8x

22 - 4 = 8x + x

18 = 9x

18/9 = x

2 = x

3) 5(2x - 1) + 3(x - 2) = 10(x + 1)

10x - 5 + 3x - 6 = 10x + 10

13x - 11 = 10x + 10

13x - 10x = 10 + 11

3x = 21

x = 21/3

x = 7

4) 10² + 8 = 12h - 6²

100 + 8 = 12h - 36

108 = 12h - 36

108 + 36 = 12h

144 = 12h

144/12 = h

12 = h

5) b : 5 + √(108 − 27) = 3² + 3

b/5 + √81 = 9 + 3

b/5 + 9 = 9 + 3

b/5 = 9 - 9 + 3

b/5 = 3

b = 3 × 5

b = 15

6) 3k – 2²:2 + 4 = 21 - √49

3k - 4/2 + 4 = 21 - 7

3k - 2 + 4 = 14

3k + 2 = 14

3k = 14 - 2

3k = 12

k = 12/3

k = 4