For each system of equations, drag the true statement about its solution set to the box under the system.

Let’s analyze the statements about the systems of equations and their solutions.

1. Infinitely Many Solutions: The statement “Both the right and left sides of the equations are equivalent expressions” is true for infinitely many solutions because if two equations represent the same line, every point on that line is a solution.

2. Zero Solutions: The statement “2x + 4 = x + 4 has no solutions” is correct in this case because if you simplify this equation, it simplifies to an incorrect statement (like 0 = 4), which means there are no solutions.

3. Zero Solutions: The statement “y is equal to two different expressions” indicates a contradiction if y is defined by two different values, hence there can be no solution.

4. One Solution: The statement “The graphs of these lines would intersect at one point” correctly reflects that if two different lines intersect at a single point, they have exactly one solution.

So, you would arrange the statements as follows under each system:

– Infinitely Many Solutions:

– “Both the right and left sides of the equations are equivalent expressions.”

– Zero Solutions:

– “2x + 4 = x + 4 has no solutions.”

– “y is equal to two different expressions.”

– One Solution:

– “The graphs of these lines would intersect at one point.”

This organization reflects a clear understanding of the