Question

2 explain how the parts of the balanced hanger compare to the parts of the equation 7 = 2x + 3 on the balanced hanger, the left hand side... (handwritten text partially visible) 3. here is a hanger: a) write an equation to represent the hanger. b) draw more hangers to show each step you would take to find x. explain your reasoning. c) write an equation to describe each hanger you drew. describe how each equation matches its hanger.

Explanation:

Step1: Analyze the given hanger (assuming the hanger for part 3 has, for example, left side with 7 units and right side with 2x + 3 units, similar to the previous equation's context)

We know a balanced hanger means both sides have equal weight. So if we assume the left side has a total value (like 7) and the right side has 2x (two unknown weights) and 3 (a known weight), we can write the equation.

Step2: Write the equation

From the balanced hanger, if left side is 7 and right side is 2x + 3 (matching the structure of a linear equation with a variable term and a constant term), the equation is $7 = 2x + 3$.

Answer:

For part 3a, the equation representing the hanger (assuming the hanger is balanced with left side 7 and right side 2x + 3 as per the context of the problem) is $\boldsymbol{7 = 2x + 3}$.

(Note: Since the actual hanger diagram isn't fully visible, this is based on the context of the previous problem with the equation \(7 = 2x + 3\). If the hanger has different quantities, the equation would adjust accordingly. For example, if left side has 5 and right side has 3x + 2, the equation would be \(5 = 3x + 2\), but based on the given problem's context with the equation \(7 = 2x + 3\) in question 2, we assume a similar structure for question 3's hanger.)