6
Answer: CSet 17: Linear Equations (Advanced)
Explanation
For what value of a does ax + 5 = 4x + 10 have no solution?
For what value of a does the equation a(x + 2) = 4x + 8 have infinitely many solutions?
What is a?
A.
10
B.
5
C.✓ Correct
4
D.
2
Detailed Explanation
Choice C is correct. For no solution, slopes must be equal but y-intercepts different. Slopes: a = 4. Intercepts: 5 ≠ 10 (already true). So a = 4.
Key Steps:
•
The correct answer is 4
Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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