Question

explanation: on the left side, there are two large weights of mass y and three small weights of mass 1. represent this side with the expression 2y + 3. on the right side, there are four large weights of mass y and two small weights of mass 1. represent this side with the expression 4y + 2. the scale is balanced, so there is equal weight on each side. we can describe the relationship between the weights on each side of the scale using the equation 2y + 3 = 4y + 2. part b question assuming the weights are in kilograms, what is the mystery weight of y? use the equation you created in part a to find the solution. type the correct answer in the box. use numerals instead of words. if necessary, use / for a fraction bar. y = \boxed{} kilogram(s)

Explanation:

Step1: Start with the equation

We have the equation \(2y + 3 = 4y + 2\).

Step2: Subtract \(2y\) from both sides

Subtracting \(2y\) from each side gives \(3 = 2y + 2\).

Step3: Subtract 2 from both sides

Subtracting 2 from both sides: \(3 - 2 = 2y\), which simplifies to \(1 = 2y\).

Step4: Solve for \(y\)

Divide both sides by 2: \(y=\frac{1}{2}\).

Answer:

\(y = \frac{1}{2}\)