The transposition rule "$a + c = b \Rightarrow a = b - c$" applies because—

Question

Accepted Answer

subtracting $c$ from both sides preserves equality

Answer

addition is commutative

Answer

multiplication is associative

Answer

division by zero is allowed

The transposition rule "a+c=b⇒a=b−ca + c = b \Rightarrow a = b - ca+c=b⇒a=b−c" applies because—