Question

The steps in the simplification of the expression 46 + 7x + 4y −2x – y − 27 are shown below.

Step 1: 46 – 27 + 7x − 2x + 4y − y
Step 2: (46 − 27) + (7x − 2x) + (4y − y)
Step 3: 19 + x (7 − 2) + y (4 − 1)
Step 4: 19 + x (5) + y (3)
Step 5: 19 + 5x + 3y

Which statement is correct?

Step 1 uses commutative property of addition, and step 5 uses commutative property of multiplication.

Step 4 uses associative property of multiplication, and step 3 uses simplification.

Step 2 uses associative property of addition, and step 5 uses simplification.

Step