Choice B is the correct answer. Both equations have the same slope ($m = 2$) but different y-intercepts ($b = 5$ and $b = -3$).

Analysis:

• Same slope → lines are parallel
• Different y-intercepts → lines never intersect

Parallel lines that don't overlap have no solution.

💡 Strategic Tip: For equations in slope-intercept form ($y = mx + b$):

• Same $m$, different $b$ → No solution (parallel lines)
• Same $m$, same $b$ → Infinite solutions (same line)
• Different $m$ → One solution (intersecting lines)

Choice A is incorrect because infinitely many solutions requires the lines to be identical (same slope AND same y-intercept).

Choice C is incorrect because one solution requires different slopes.

Choice D is incorrect because we can always determine the number of solutions by comparing slopes and intercepts.