B. \( (9-x)+22=x \) C. \( 9+x=22-x \) Use this equation to complete the circle pattern. \( x=\square \) \( y=\square \) \( z=\square \)

Let's solve the equations step by step. ### Equation B: \( (9-x) + 22 = x \) 1. Start by simplifying the left side: \[ 9 - x + 22 = x \] This simplifies to: \[ 31 - x = x \] 2. Next, add \( x \) to both sides: \[ 31 = 2x \] 3. Now, divide both sides by 2 to solve for \( x \): \[ x = \frac{31}{2} = 15.5 \] ### Equation C: \( 9 + x = 22 - x \) 1. Start by adding \( x \) to both sides: \[ 9 + x + x = 22 \] This simplifies to: \[ 9 + 2x = 22 \] 2. Next, subtract 9 from both sides: \[ 2x = 22 - 9 \] This simplifies to: \[ 2x = 13 \] 3. Now, divide both sides by 2 to solve for \( x \): \[ x = \frac{13}{2} = 6.5 \] ### Summary of Results - From Equation B, we found \( x = 15.5 \). - From Equation C, we found \( x = 6.5 \). Now, we need to complete the circle pattern with \( x \), \( y \), and \( z \). Assuming \( y \) and \( z \) are related to \( x \) in some way, we can assign values based on the equations. Let's assign: - \( x = 15.5 \) - \( y = 6.5 \) - \( z \) can be a function of \( x \) and \( y \). If we assume \( z = x + y \): \[ z = 15.5 + 6.5 = 22 \] ### Final Values - \( x = 15.5 \) - \( y = 6.5 \) - \( z = 22 \) Thus, the completed circle pattern is: - \( x = 15.5 \) - \( y = 6.5 \) - \( z = 22 \)