6
AssignmentMultiple Choice

Analyzing Solutions

Question 6 • NC-Foundations of Math 1 (Fall) [1st 9 Weeks]

Which equation has infinitely many solutions?

Answer
A
5(2x + 4) = 10x – 12
B
5(2x + 4) = 10(x + 2)
C
5(2x + 4) = 12x
D
5(2x + 10) = 20(x + 1)

Explanation

Distribute on both sides of choice B: 5(2x + 4) = 10x + 20, and 10(x + 2) = 10x + 20. The equation becomes 10x + 20 = 10x + 20, which is true for every value of x, so it has infinitely many solutions.

AI-written and checked against the verified answer.

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