## Chapter 2 Linear Equations in One Variable Exercise 2.1

**Solve the following equations.**

Question 1: x - 2 = 7

Answer:

Question 1: x - 2 = 7

Answer:

= x - 2 = 7

= x = 7 + 2

= x = 9

**Question 2: y + 3 = 10**

Answer:

Answer:

= y + 3 = 10

= y = 10 - 3

= y = 7

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

Answer:

Answer:

= 6 = z + 2

= 6 - 2 = z

= z = 4

**Question 4: 3/7 + x = 17/7**

Answer:

Answer:

= 3/7 + x = 17/7

= x = 17/7 - 3/7

= x = 17 - 3/7

= x = 14/7 or 2

**Question 5: 6x = 12**

Answer:

Answer:

= 6x = 12

= x = 12/6

= x = 2

**Question 6: t/5 = 10**

Answer:

Answer:

= t/5 = 10

= t = 10 × 5

= t = 50

**Question 7: 2x/3 = 18**

Answer:

Answer:

= 2x/3 = 18

= 2x = 18 × 3

= 2x = 54

= x = 54/2

= x = 27

**Question 8: 1.6 = y/1.5**

Answer:

Answer:

= 1.6 = y/1.5

= 1.6 × 1.5 = y

= y = 2.4

**Question 9: 7x - 9 = 16**

Answer:

Answer:

= 7x - 9 = 16

= 7x = 16 + 9

= 7x = 25

= x = 25/7

**Question 10: 14y - 8 = 13**

Answer:

Answer:

= 14y - 8 = 13

= 14y = 13 + 8

= 14y = 21

= y = 21/14

**Question 11: 17 + 6p = 9**

Answer:

Answer:

= 17 + 6p = 9

= 6p = 9 - 17

= 6p = -8

= p = -8/6

**Question 12: x/3 + 1 = 7/15**

Answer:

Answer:

= x/3 + 1 = 7/15

= x/3 = 7/15 - 1

= x/3 = -8/15

= x = -8/15 x 3

= x = -8/5

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