Question

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

Answer 1

Answer:

B. $x = \frac{9}{2}$

Step-by-step 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

$\frac{2x}{2} = \frac{9}{2}$

$x = \frac{9}{2}$