How many solutions does this system have?
No solution
Exactly one solution
Infinitely many solutions
Cannot be determined
Correct Answer: C
Choice C is the correct answer. Let's rearrange the first equation to compare with the second.
Step 1: Rearrange to standard form:
Multiply by 4:
Or rearranged:
This is exactly the second equation!
Conclusion: Infinitely many solutions (same line)
💡 Strategic Tip: Equations can look different in slope-intercept vs. standard form but represent the same line.
Choice A is incorrect because no solution requires parallel lines with different constants.
Choice B is incorrect because one solution requires different slopes.
Choice D is incorrect because we can always determine this by converting forms.