Question

The model represents an equation. What value of X makes the equation true?

Answers are: 3/4
9/2
-3/4
-9/2

Please help

Answer 1

B.
`x = (9)/(2)`

Explanation:

On our left, we have 7 "x's" and 7 "1's". Let this be 7x + 7.

On our right, we have 5 "x's" and 16 "1's". Let this be 5x + 16.

We would have the equation:

`7x + 7 = 5x + 16`

Solve for x. Collect like terms.

`7x - 5x = 16 - 7`

`2x = 9`

Divide both sides by 2

`(2x)/(2) = (9)/(2)`

`x = (9)/(2)`