Question

Tyreese is using algebra tiles to solve the equation below.

2x + 5 = -x + (1)

answers

A. remove one x-tile from both sides. B. remove two x-tiles from the left side. C. add one positive x-tile to both sides. D. add two positive x-tiles to both sides.

Answer 1

for this case we have the following equation:

`2x + 5 = -x + 1`

To resolve:

We add x to both sides of the equation:

`2x + x + 5 = -x + 1 + x`

`3x + 5 = 1`

We subtract 5 on both sides of the equation:

`3x + 5-5 = 1-5\\3x = -4`

We divide between 3 on both sides of the equation:

`x = - \frac {4} {3}`

Answer:

We add x to both sides of the equation

Answer 2

The correct option is C) add one positive x-tile to both sides.

Explanation:

Consider the provided equation.

2x + 5 = -x + 1

Now to solve the above equation first isolate the variables.

To isolate the variables add x to the both the side of the equation.

2x + 5 + x = -x + 1 + x

Now add the like terms.

3x + 5 = 1

Here we add the x tiles to the both the side of the equation.

Now consider the options.

The correct option is C) add one positive x-tile to both sides.