The DAV Class 6 Maths Solutions and **DAV Class 6 Maths Chapter 7 Worksheet 3 **Solutions of Linear Equations offer comprehensive answers to textbook questions.

## DAV Class 6 Maths Ch 7 WS 3 Solutions

Solve the following equations:

Question 1.

x + 9 = 15

Answer:

x + 9 = 15

⇒ x + 9 – 9 = 15 – 9 (Subtracting 9 from both sides)

∴ x = 6

Question 2.

y – 6 = 9

Answer:

y – 6 = 9

⇒ y – 6 + 6 = 9 + 6 (Adding 6 to both sides)

∴ y = 15

Question 3.

8x = 24

Answer:

8x = 24

⇒ \(\frac{8 x}{8}=\frac{24}{8}\) (Dividing both sides by 8)

⇒ x = 3

Question 4.

\(\frac{x}{5}\) = 4

Answer:

\(\frac{x}{5}\) = 4

⇒ \(\frac{x}{5}\) × 5 = 4 × 5 5 (Multiplying both sides by 5)

⇒ x = 20

Question 5.

6 – y = 9

Answer:

6 – y = 9

⇒ 6 – 6 – y = 9 – 6 (Subtracting 6 from both sides)

⇒ -y = 3

∴ y = -3 (Multiplying both sides by 1)

Question 6.

x + 4 = 1

Answer:

x + 4 = 1

⇒ x + 4 – 4 = 1 – 4 (Subtracting 4 from both sides)

∴ x = -3

Question 7.

\(\frac{p}{3}\) = -8

Answer:

\(\frac{p}{3}\) = -8

⇒ \(\frac{p}{3}\) x 3 = -8 x 3 (Multiplying both sides by 3)

⇒ p = -24

Question 8.

y – 9 = 3

Answer:

y – 9 = 3

y – 9 + 9 = 3 + 9 (Adding 9 to both sides)

Question 9.

17x = -85

Answer:

17x = -85

⇒ \(\frac{17 x}{17}=\frac{-85}{17}\) (Dividing both sides by 17)

∴ x = -5

Question 10.

12x = 12

Answer:

12x = 12

⇒ \(\frac{12 x}{12}=\frac{12}{12}\) (Dividing both sides by 12)

∴ x = 1