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 

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

• a = 2
• b = 5
• c = 0

(vi) Consider 3x + 2 = 0

⇒ 3x + 0y + 2 = 0 

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

• a = 3
• b = 0
• c = 2

(vii) Consider y - 2 = 0

⇒ 0x + 1y - 2 = 0 

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

• a = 0
• b = 1
• c = -2

(viii) Consider 5 = 2x

⇒ 2x + 0y - 5 = 0 

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

• a = 2
• b = 0
• c = -5

☛ Check: NCERT Solutions Class 9 Maths Chapter 4

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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.

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