Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question when solving an equation, kevins first step is shown below. wh…

Question

question when solving an equation, kevins first step is shown below. which property justifies kevins first step? original equation: -5x· - 2=-2 first step: -5· - 2x=-2 answer associative property of addition distributive property of multiplication over addition commutative property of multiplication multiplication property of equality

Explanation:

Brief Explanations

The commutative property of multiplication states that for any real - numbers \(a\) and \(b\), \(a\times b=b\times a\). In the original equation \(-5x\cdot - 2=-2\), and the first step \(-5\cdot - 2x=-2\), the order of multiplication of \(-5\) and \(x\) is changed, which is an application of the commutative property of multiplication.

Answer:

commutative property of multiplication