Question

select the correct answer.
create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

a. ( x + 10 = 6, x = -4 )
b. ( x + 6 = 10; x = 4 )
c. ( x + 6 = 16; x = 10 )
d. ( x = 6 + 10; x = 16 )

Explanation:

Step1: Count circles on each side

Left side (square + circles): 1 square (\(x\)) + 6 circles.
Right side: 10 circles.
So equation: \(x + 6 = 10\).

Step2: Solve for \(x\)

Subtract 6 from both sides:
\(x + 6 - 6 = 10 - 6\)
\(x = 4\).

Answer:

B. \( x + 6 = 10; x = 4 \)