Question

Exercise 13.3
3. 2x - 3 = x + 2
Solve the following equations and check your answers:
1. 3x - 2 =2x + 3
2. 2x - 1 = 14 - X
3. 2x-3 = x + 2
4. 3x + 4 = 4/3x + 9
5. 43 - 5 (2x - 3) = 1 - 2x
6. 3x = 5x -8/5
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Answer 1

ANSWER:

FIRST CASE:

• 2x - 3 = x + 2
• or, 2x - x = 2 + 3
• or, x = 5

SECOND CASE:

• 3x - 2 = 2x + 3
• or, 3x - 2x = 3 + 2
• or, x = 5

THIRD CASE:

• 2x - 1 = 14 - x
• or, 2x + x = 14 + 1
• or, 3x = 15
• or, x = 15/3
• or, x = 5

FOURTH CASE:

• 3x + 4 = 4/3x + 9
• or, 9x + 12 = 4x + 27
• or, 9x - 4x = 27 - 12
• or, 5x = 15
• or, x = 15/5
• or, x = 3

FIFTH CASE:

• 43 - 5(2x - 3) = 1 - 2x
• or, 43 - 10x + 15 = 1 - 2x
• or, -10x + 2x = 1 - 43 - 15
• or, -8x = -57
• or, x = -57/-8
• or, x = 57/8

SIXTH CASE:

• 3x = 5x -8/5
• or, 8/5 = 5x - 3x
• or, 8/5 = 2x
• or, 8/5 × 1/2 = x
• or, x = 4/5