Set 12: Linear Equations (Intermediate)

Explanation

Answer: B

If $ax + 3 = 2x + b$ has infinite solutions, what are $a$ and $b$ ?

a=3, b=2

a=2, b=3

✓ Correct

a=2, b=2

a=3, b=3

Detailed Explanation

Choice B is correct. Choice A is the correct answer. 1. Condition: For infinite solutions, both sides must be identical. 2. Coefficients: $a = 2$ 3. Constants: $b = 3$ Choice C is incorrect because swapped. Choice D is incorrect because b is wrong. Choice C is incorrect because a is wrong.

Key Steps:

•

The correct answer is a=2, b=3

Why others are wrong:

A: Choice A 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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