# Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case:

(i) 2x + 3y = 9.35

(ii) x - y/5 -10 = 0

(iii) -2x + 3y = 6

(iv) x = 3y

(v) 2x = - 5y

(vi) 3x + 2 = 0

(vii) y - 2 = 0

(viii) 5 = 2x

**Solution:**

**(i)** Consider 2x + 3y = 9.35

⇒ 2x + 3y - 9.35= 0

Comparing this with the standard form of the linear equation in two variables, ax + by + c = 0 we have,

- a = 2
- b = 3
- c = - 9.35

**(ii)** Consider x - y/5 - 10 = 0

⇒ 1x - y/5 - 10 = 0

Comparing this with the standard form of the linear equation in two variables, ax + by + c = 0 we have,

- a = 1
- b = -1/5
- c = -10

**(iii)** Consider -2x + 3y = 6

⇒ -2x + 3y - 6 = 0

Comparing this with the standard form of the linear equation in two variables, ax + by + c = 0 we have,

- a = - 2
- b = 3
- c = - 6

**(iv)** Consider x = 3y

⇒ 1x - 3y + 0 = 0

Comparing this with the standard form of the linear equation in two variables, ax + by + c = 0, we have

- a = 1
- b = -3
- c = 0

**(v)** Consider 2x = -5y

⇒ 2x + 5y + 0 = 0

- a = 2
- b = 5
- c = 0

**(vi)** Consider 3x + 2 = 0

⇒ 3x + 0y + 2 = 0

- a = 3
- b = 0
- c = 2

**(vii)** Consider y - 2 = 0

⇒ 0x + 1y - 2 = 0

- a = 0
- b = 1
- c = -2

**(viii)** Consider 5 = 2x

⇒ 2x + 0y - 5 = 0

- a = 2
- b = 0
- c = -5

**Video Solution:**

## Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b, c in each case: i) 2x + 3y = 9.35 ii) x - y/5 -10 = 0 iii) -2x + 3y = 6 iv) x = 3y v) 2x = - 5y vi) 3x + 2 = 0 vii) y - 2 = 0 viii) 5 = 2x

### NCERT Solutions Class 9 Maths - Chapter 4 Exercise 4.1 Question 2:

**Summary:**

The following linear equations 2x + 3y = 9.35, x - y/5 - 10 = 0, -2x + 3y = 6, x = 3y, 2x = -5y, 3x + 2 = 0, y - 2 = 0, and 5 = 2x, can be expressed in the form of ax + by + c = 0 as 2x + 3y - 9.35 = 0, x - y/5 - 10 = 0, -2x + 3y - 6 = 0, 1x - 3y + 0 = 0, 2x + 5y + 0 = 0, 3x + 0y + 2 = 0, 0x + 1y - 2 = 0, and 2x + 0y - 5 = 0.