1
Answer: DSet 14: Linear Equations (Intermediate)
Explanation
For what value of k does the equation 2x + 3 = 2x + k have infinitely many solutions?
If the equation k(2x + 1) = 4x + 2 has infinitely many solutions, what is the value of k?
What is k?
A.
2
B.
0
C.
1
D.✓ Correct
3
Detailed Explanation
Choice D is correct. For infinitely many solutions, both sides must be identical. 2 x + 3 = 2 x + k implies k = 3.
Key Steps:
•
The correct answer is 3
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.
C: Choice C is incorrect and may result from a calculation error.
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