Question

Provide the missing reason in the following 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 ________________________

(Points : 4)
Symmetric Property
Additive Inverse Property
Additive Identity Property
Opposite of a Sum Property

Answer 1

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