Question

Which step in solving this equation is justified by the Associative Property of Addition? Consider the sequence of steps to solve the equation: 6v + 3(y – 5) = 4y -- (2v + 1) Given + 3(-5) = 4y - (2v + 1) Step 16v + 3y - 15 = 4y - (2y + 1) Step 2 6y + 3y - 15 = 4y - 2 - 1 Step 3 9y - 15 = 4y – 2v-1 Step 4 9y - 15=-2y + 4y - 1 Step 5 9v - 15 = 2y - 1 Step 6 7y - 15 =-1 Step 77y=14 Step 8y=2 a. Step 7 b. Step 3 c. Step 5 d. Step 4 2. MGSE9-12.A.REI.1 Which step in solving this equation is justified by the

Answer 1

First consider what the associative property of addition is:

Due to such a property, the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Then, from the different steps given in the question, you can notice that in the step 3, regardless the simplifcation of like terms right side or left side, the result is the same.