Question
Download Solution PDFIf the equations 6x – 5y + 11 = 0 and 15x + ky – 9 = 0 have no solution, then the value of k is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Consider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution.
Calculation:
When two equation have no solution then, Using parallel system of equations,
Then,
⇒ 6/15 = -5/k
⇒ k = -25/2
⇒ k = -12.5
Last updated on Jun 26, 2025
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