Samantha writes the expression 9.2x + 56.6y + 2(1.4x-2.3y) PartA: Samantha's friend, Jonathan, writes the two expressions shown below. Expression 1: 5(2.4x + 10.4y)
Expression 2: 4(3.9x +5.5y - 0.9x + 7.5y)
Jonathan claims that both of his expressions are equivalent to Samantha's expression. Explain why Jonathan's claim is true. Show your work for both
expressions
Part B: Luz claims that Samantha's expression is also equivalent to the expression 64xy. Luz states, "The expressions are equivalent because when we
substitute x = 1 and y = 1, both expressions have the same value. This means that both expressions are equivalent."
•Which part of Luz's reasoning is correct? Justify your answer.
Which part of Luz's reasoning is incorrect? Justify your answer.
•Provide an example when you substitute different x and y values to support your answer.