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Answered

Which of the following equations has infinitely many solutions?

A.
4x + 5(2x + 6) = 14x + 30

B.
5x + 2 = 2x + 6

C.
4(x + 5) + 2 = 6x + 4(x + 2)

D.
4x + 5 = 2

Answer :

MrRoyalgo

The equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30

How to determine the equation?

An equation with infinitely many solutions is represented as:

ax + b = ax + b

This means that both sides of the equation must be the same.

Next, we test the options:

4x + 5(2x + 6) = 14x + 30

Open the bracket

4x + 10x + 30 = 14x + 30

Evaluate the like terms

14x + 30 = 14x + 30

Both sides of the equation must be the same.

Hence, the equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30

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