Question

The pair of equations x + 2y – 5 = 0 and −3x – 6y + 15 = 0 have:



(A) A unique solution

(B) Exactly two solutions

(C) Infinitely many solutions

(D) No solution​

Answer 1

Answer:

option d is the answer of your question

Answer 2

Step-by-step explanation:

Answer is Option (c) infinitely many solution

solution:

given equation are:

x + 2y - 5 = 0

-3x - 6y + 15 = 0

from the given equation we have:

a1/a2 = x/-3 = 1/3

b1/b2 = 2y/-6y = 1/-3

c1/c2 = -5/15 = -1/3

a1/a2 = b1/b2 = c1/c2

Therefore, The given pair of lines have infinite many solutions.