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5.

Which equation has an infinite number of solutions?
A. 3 (2x + 1) = 6x - 3
B. 3(2x + 1) = 3x + 3
C.
D.
3(2x + 1) = 6x +3
3 (2x + 1) = 3x - 3

1 Answer

3 votes

Final answer:

The equation with an infinite number of solutions is option A, where the equation simplifies to a false statement.


Step-by-step explanation:

The equation that has an infinite number of solutions is option A. To determine this, we need to solve the equation and see if it results in a true statement or a false statement. When we solve equation A:

3(2x + 1) = 6x - 3

6x + 3 = 6x - 3

By simplifying and moving terms around, we end up with 3 = -3. This is a false statement. Since it isn't true, this implies that every value of x will satisfy the equation, resulting in an infinite number of solutions.


Learn more about Infinite solutions in equations

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