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

To solve the equations, let's start with both of them: 1. For \( (9-x) + 22 = x \): - Combine like terms: \( 31 - x = x \) - Add \( x \) to both sides: \( 31 = 2x \) - Divide by 2: \( x = 15.5 \) 2. For \( 9 + x = 22 - x \): - Combine like terms: \( 2x + 9 = 22 \) - Subtract 9 from both sides: \( 2x = 13 \) - Divide by 2: \( x = 6.5 \) Now we can create a circle pattern where \( x = 15.5 \) and \( x = 6.5 \) yield different values. If you consider a cycle where each \( x \) affects the next variable in the pattern: Assuming \( y = 31 - x \) for the first \( x \): - If \( x = 15.5 \): \( y = 31 - 15.5 = 15.5 \) - And, for \( z \), let's say \( z = 16 - y \): \( z = 16 - 15.5 = 0.5 \) If we consider the second equation's result: - If \( x = 6.5 \): \( y = 31 - 6.5 = 24.5 \) - And, for \( z \): \( z = 16 - 24.5 = -8.5 \) Finally, based on these calculations, we can fill in the values: \( x=15.5 \) \( y=15.5 \) \( z=0.5 \) From the second equation results: \( x=6.5 \) \( y=24.5 \) \( z=-8.5 \) Feel free to adjust the patterns or values based on how you want them to cycle!