Math, asked by rohanChaudhry669, 1 year ago

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have
(A) a unique solution (B) exactly two solutions
(C) infinitely many solutions (D) no solution

NCERT Class X
Mathematics - Exemplar Problems

Chapter _PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Answers

Answered by techtro
1

Given :

equation 1 :- x + 2y + 5 = 0

equation 2 :- –3x – 6y + 1 = 0

To find :

Number of solutions

Solution :

Solving equation (1) and (2)

multiply equation (1) by 3

3×(x + 2y + 5) = 0

3x + 6y + 15 = 0

Add equation (1) and (2)

3x + 6y + 15 + (–3x – 6y + 1) = 0

16 is not equal to 0

• Hence, there is no such value of x and y for which two lines intersect or we can say that given lines are parallel to each other.

Option D is correct

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