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
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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
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Answer:
option d is the answer of your question
Verified answer
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.