When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step? Original Equation: -(1)/(2)x=4 First Step: x=-8 multiplication property of equality addition property of equality associative property of addition commutative property of addition

Multiply by -2: Anne's original equation is -(1/2)x = 4. To solve for x, she needs to get x by itself on one side of the equation. To do this, she multiplies both sides of the equation by -2, which is the reciprocal of -(1/2). This will cancel out the -(1/2) on the left side and leave x by itself. Calculation: Multiplying both sides by -2: -2 * (-(1/2)x) = -2 * 4 x = -8Calculation: By multiplying both sides of the equation by -2, Anne has used the Multiplication Property of Equality. This property states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.

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When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?
Original Equation:

-(1)/(2)x=4
First Step:

x=-8
multiplication property of equality
addition property of equality
associative property of addition
commutative property of addition

When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step? $\newline$ Original Equation: $\newline$ $-\frac{1}{2} x=4$ $\newline$ First Step: $\newline$ $x=-8$ $\newline$ multiplication property of equality $\newline$ addition property of equality $\newline$ associative property of addition $\newline$ commutative property of addition

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Algebra 1

Properties of equality

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Q. When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?

\newline

Original Equation:

\newline

-\frac{1}{2} x=4

\newline

First Step:

\newline

x=-8

\newline

multiplication property of equality

\newline

addition property of equality

\newline

associative property of addition

\newline

commutative property of addition

Multiply by $-2$ : Anne's original equation is $-(1/2)x = 4$ . To solve for x, she needs to get x by itself on one side of the equation. To do this, she multiplies both sides of the equation by $-2$ , which is the reciprocal of $-(1/2)$ . This will cancel out the $-(1/2)$ on the left side and leave $x$ by itself. $\newline$ Calculation: $\newline$ Multiplying both sides by $-2$ : $\newline$ $-2 \times (-(1/2)x) = -2 \times 4$ $\newline$ $x = -8$
Calculation: By multiplying both sides of the equation by $-2$ , Anne has used the Multiplication Property of Equality. This property states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.