Question
Download Solution PDFThe equations 3x - 4y = 5 and 12x - 16y = 20 have:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If two linear equations
x + b1y = c1 and x + b2y = c2. Then,
(a) If
/a2 = b1/b2 = c1/c2 , the system is consistent and has infinitely many solutions.(b) If
/a2 = b1/b2 ≠ c1/c2 the system has no solution and is inconsistentCalculation:
In equations 3x − 4y = 5 and 12x − 16y = 20
3/12 = -4/-16 = 5/20 ⇒ ¼ = ¼ = ¼
So the system is consistent and has infinitely many solutions
∴ They have more than two common solutions.
Last updated on Jul 14, 2025
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