Determine the number of solutions:
Infinitely many solutions
No solution
Exactly one solution
Exactly two solutions
Correct Answer: A
Choice A is the correct answer. Let's rearrange the first equation to compare with the second.
Step 1: Rearrange to standard form: Multiply by -2:
This is exactly the second equation!
Step 2: Since both equations represent the same line, there are infinitely many solutions.
💡 Strategic Tip: Always convert to the same form (slope-intercept or standard) to compare equations easily.
Choice B is incorrect because no solution requires parallel lines that don't overlap.
Choice C is incorrect because one solution requires different slopes.
Choice D is incorrect because two linear equations cannot have exactly two solutions.