To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?
5x +2 = 5x + 5 (subtract 5x and 2 on both sides)
0 = 3 No solution
How could you change the equation so it has infinitely many solutions?
Have 2 or 5 change because they need to be equal to each other. Its fine what you put as long as the equal sign is the same as the other side like 3 = 3 for example or 5 = 5, something like that. Once they have the same end then you can substitute the number to x.
What would infinitely many solutions mean in terms of the situation?
x represents the number of tiles they used