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x - 2y = 6, 3x - 6y = 0, find whether the following pair of equations are consistent or not. If consistent, solve them

Solution:

From the above question, we have the equation as,

x - 2y = 6------------------(1)

3x - 6y = 0-----------------(2)

Comparing with the general form of straight line ax + by + c = 0, we get,

a₁ = 1, b₁ = -2 c₁ = -6

a₂ = 3, b₂ = -6 c₂ = 0

a₁ /a₂ = 1/3;

b₁/ b₂ = 1/3;

c₁/ c₂ = 0

a₁ /a₂ = b₁/ b₂ ≠ c₁/ c₂.

Hence, the given lines are parallel.

Hence, it has no solution.

Therefore, the given pair of lines are inconsistent.

✦ Try This: By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them , x - 2y = 8, 3x - 6y = 0

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.3 Problem 11 (ii)

x - 2y = 6, 3x - 6y = 0, find whether the following pair of equations are consistent or not. If consistent, solve them

Summary:

The following pair of equations x - 2y = 6 and 3x - 6y = 0 is inconsistent.

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