The equations x + 3y = 5 and 2x − by = 10 represent the same line if b =
A
6
B
−5
C
−6
D
None of these
Correct Option:
C
Explanation
For two equations to represent the same line, one must be a constant multiple of the other. Multiplying x + 3y = 5 by 2 gives 2x + 6y = 10. Comparing this with 2x − by = 10, we need −b = 6, so b = −6.
