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Q.
The possible real values of m for which the simultaneous equations
$y = mx + 3$ and $y = (2m - 1)x + 4$ are satisfied for atleast one pair of real numbers $(x, y) $ is
Straight Lines
Solution:
The system will always have a solution (x, y) unless the two lines are parallel.
i.e. $m=2 m-1 \Rightarrow m=1$