Question

What is the missing reason in the proof?

Prove –(–y – x) – x = y
Statements Reasons
–(–y – x) – x = –[–y +(–x)] – x Definition of subtraction
–[–y +(–x)] – x = y + x – x Opposite of a sum property
y + x – x = y + x + (–x) Definition of subtraction
y + x + (–x) = y + [x + (–x)] Associative Property of Addition
y + [x + (–x)] = y + 0 Additive Inverse Property
y + 0 = y ________________________


A.
Symmetric Property

B.
Additive Inverse Property

C.
Additive Identity Property

D.
Opposite of a Sum P

Answer 1

C.

Answer 2

Thank you! Can you help me with one more question?

Answer 3

Evaluate if x = –14.6 and y = 2.5.
–x – |y|

A.
–17.1

B.
–12.1

C.
12.1

D.
17.1