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. $x = 6 + 10; x = 16$
b. $x + 10 = 6; x = - 4$
c. $x + 6 = 10; x = 4$
d. $x + 6 = 16; x = 10$

Explanation:

Step1: Count the number of circles on each side

Left - hand side has \(6\) circles and a square (let the square be \(x\)). Right - hand side has \(10\) circles.

Step2: Set up the equation

Since the balance beam is evenly balanced, the number of elements on both sides is equal. So the equation is \(x + 6=10\).

Step3: Solve the equation

Subtract \(6\) from both sides of the equation \(x+6 - 6=10 - 6\).

Answer:

C. \(x + 6 = 10,x = 4\)