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Which equation has infinitely many solutions?

O 5(2x + 4) = 10x – 12
O 5(2x + 4) = 10(x + 2)
O 5(2x + 4) = 12x
O 5(2x + 10) = 20(x + 1)

2 Answers

2 votes

Answer:

the answer is B

Explanation:

User Madmax
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2 votes

Answer:

5(2x + 4) = 10(x + 2)

Explanation:

An equation has infinitely many solutions when they end in 0 = 0, that is, both sides are exactly equivalent. In this case, basically, all real numbers are solution, it's like a line under the same line, it's like the reflexive property, every number is equal to itself.

The expression that fulfil that definition is the second one, because:

5(2x + 4) = 10(x + 2)

10x + 20 = 10x + 20

10x - 10x = 20 - 20x

0 = 0

Therefore, it's demonstrated that the second equation has infinite solutions, that is, all numbers are solutions.

User Samel
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8.3k points