## Chapter 2 Linear Equations in One Variable Exercise 2.3

**Solve the following equations and check your results.**

Question 1: 3x = 2x + 18

Answer:

Question 1: 3x = 2x + 18

Answer:

= 3x = 2x + 18

= 3x - 2x = 18

= x = 18

**Question 2: 5t - 3 = 3t - 5**

Answer:

Answer:

= 5t - 3 = 3t - 5

= 5t - 3t = -5 + 3

= 2t = -2

= t = -1

**Question 3: 5x + 9 = 5 + 3x**

Answer:

Answer:

= 5x + 9 = 5 + 3x

= 5x - 3x = 5 - 9

= 2x = -4

= x = -2

**Question 4: 4z + 3 = 6 + 2z**

Answer:

Answer:

= 4z + 3 = 6 + 2z

= 4z - 2z = 6 - 3

= 2z = 3

= z = 3/2

**Question 5: 2x - 1 = 14 - x**

Answer:

Answer:

= 2x - 1 = 14 - x

= 2x + x = 14 + 1

= 3x = 15

= x = 5

**Question 6: 8x + 4 = 3(x - 1) + 7**

Answer:

Answer:

= 8x + 4 = 3(x - 1) + 7

= 8x + 4 = 3x - 3 + 7

= 8x - 3x = -3 + 7 - 4

= 5x = 0

= x = 0/5

= x = 0

**Question 7: x = 4/5 (x + 10)**

Answer:

Answer:

= x = 4/5 (x + 10)

= 5x = 4x + 40

= 5x - 4x = 40

= x = 40

**Question 8: 2x/3 + 1 = 7x/15 + 3**

Answer:

Answer:

= 2x/3 + 1 = 7x/15 + 3

= 2x/3 - 7x/15 = 3 - 1

= 3x/15 = 2

= 1x/5 = 2

= x = 2 × 5

= x = 10

**Question 9: 2y + 5/3 = 26/3 - y**

Answer:

Answer:

= 2y + 5/3 = 26/3 - y

= 2y + y = 26/3 - 5/3

= 3y = 21/3

= 3y = 7

= y = 7/3

**Question 10: 3m = 5m - 8/5**

Answer:

Answer:

= 3m = 5m - 8/5

= 3m - 5m = -8/5

= -2m = -8/5

= 2m = 8/5

= m = 8/5 ÷ 2/1

= m = 8/5 × 1/2

= m = 8/10

= m = 4/5

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