5 positive x-tiles and 1 positive unit tile to represent 5x + ( - 1) 2 negative x-tiles and 6 positive unit tiles to represent - 2x + 6 Which statement explains Garcia's error?

5 positive x-tiles and 1 positive unit tile to represent 5x + (-1), explains Gracia's error.

Step-by-step explanation:

Garcia is modeling the equation 5x + (-1) = - 2x + 6 by using the following tiles

5 positive x-tiles and 1 positive unit tile to represent 5x + ( - 1)

2 negative x-tiles and 6 positive unit tiles to represent - 2x + 6

we know that

5 positive x-tiles and 1 positive unit tile to represent 5x + (1)

while we are given 5x + (-1)

So, there are 1 negative unit tiles

so, option-A

Case 1:

5 positive x-tiles = 5x

1 positive unit tile = 1

5 positive x-tiles and 1 positive unit tile = 5x + 1

Case 2:

2 negative x-tiles = - 2x

6 positive unit tiles = 6

so, 2 negative x-tiles and 6 positive unit tiles = - 2x+6

We see that Gracia has represented the 1st case as 5x + (-1), which should be 5 positive x-tiles and 1 negative unit tile.

Hence the statement : 5 positive x-tiles and 1 positive unit tile to represent 5x + (-1), explains Gracia's error.