DAV Class 6 Maths Chapter 7 Worksheet 3 Solutions

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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

DAV Class 6 Maths Chapter 7 Worksheet 3 Solutions

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

DAV Class 6 Maths Chapter 7 Worksheet 3 Solutions

Question 10.
12x = 12
Answer:
12x = 12
⇒ \(\frac{12 x}{12}=\frac{12}{12}\) (Dividing both sides by 12)
∴ x = 1