Question

Solve the following questions
1. 2x + 4 = 30
2. (x + 4) ÷7 = (x - 6)÷5
3. 5(y - 6) = 4(y + 2)
4. 7(a + 1 )= a + 29
5. 4x - 7 = 2( x -1 )÷3
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Answer 1

Solution:

1). 2x + 4 = 30

Sol. 2x + 4 = 30

=> 2x = 30 - 4

=> 2x = 26

=> x = 26/2

=> x = 13

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2). (x + 4)/7 = (x - 6)/5

Sol. (x + 4)/7 = (x - 6)/5

=> 7(x - 6) = 5(x + 4)

=> 7x - 42 = 5x + 20

=> 7x - 5x = 20 + 42

=> 2x = 62

=> x = 62/2

=> x = 31

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3). 5(y - 6) = 4(y + 2)

Sol. 5(y - 6) = 4(y + 2)

=> 5y - 30 = 4y + 8

=> 5y - 4y = 30 + 8

=> y = 38

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4). 7(a + 1) = a + 29

Sol. 7(a + 1) = a + 29

=> 7a + 7 = a + 29

=> 7a - a = 29 - 7

=> 6a = 22

=> a = 22/6

=> a = 11/3

_________________________

5). 4x - 7 = [2(x - 1)]/3

Sol. 4x - 7 = [2(x - 1)]/3

=> 3(4x - 7) = 2x - 2

=> 12x - 21 = 2x - 2

=> 12x - 2x = 21 - 2

=> 10x = 19

=> x = 19/10

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Answer 2

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Question 1 :

2x + 4 = 30

=> 2x = 30 - 4

=> 2x = 26

=> x = 26/2

=> x = 13

Question 2 :

(x + 4)/7 = (x - 6)/5

=> 7(x - 6) = 5(x + 4)

=> 7x - 42 = 5x + 20

=> 7x - 5x = 20 + 42

=> 2x = 62

=> x = 62/2

=> x = 31

Question 3 :

5(y - 6) = 4(y + 2)

=> 5y - 30 = 4y + 8

=> 5y - 4y = 30 + 8

=> y = 38

Question 4 :

7(a + 1) = a + 29

=> 7a + 7 = a + 29

=> 7a - a = 29 - 7

=> 6a = 22

=> a = 22/6

=> a = 11/3

Question 5 :

4x - 7 = [2(x - 1)]/3

=> 3(4x - 7) = 2x - 2

=> 12x - 21 = 2x - 2

=> 12x - 2x = 21 - 2

=> 10x = 19

=> x = 19/10

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