9
Answer: ASet 1: Linear Functions (Intermediate)
Explanation
How many solutions does the system and have?
A.✓ Correct
Infinitely many
B.
No solution
C.
Exactly one
D.
Two
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Check for coincident lines. 1. Equation 2: Divide by 2 . 2. Comparison: It is identical to Equation 1. 3. Result: Same line Infinite solutions. Strategic Tip: If one equation is a multiple of the other, they are the same line. Choice B is incorrect because they touch everywhere. Choice C is incorrect because they are not distinct. Choice D is incorrect because linear systems never have exactly two solutions.
Key Steps:
•
The correct answer is Infinitely many
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C 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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