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When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step? Original Equation: -(1)/(4)x=3 First Step: x=-12 multiplication property of equality addition property of equality associative property of addition commutative property of addition

When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?\newlineOriginal Equation:\newline−14x=3 -\frac{1}{4} x=3 \newlineFirst Step:\newlinex=−12 x=-12 \newlinemultiplication property of equality\newlineaddition property of equality\newlineassociative property of addition\newlinecommutative property of addition

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Q. When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?\newlineOriginal Equation:\newline−14x=3 -\frac{1}{4} x=3 \newlineFirst Step:\newlinex=−12 x=-12 \newlinemultiplication property of equality\newlineaddition property of equality\newlineassociative property of addition\newlinecommutative property of addition
  1. Identify Equation & Step: Identify the original equation and the first step taken by Emily.\newlineOriginal Equation: −(14)x=3-(\frac{1}{4})x = 3\newlineFirst Step: x=−12x = -12
  2. Analyze Transformation: Analyze the transformation from the original equation to the first step.\newlineEmily multiplied both sides of the equation by −4-4 to isolate xx.\newline−(14)x⋅(−4)=3⋅(−4)-\left(\frac{1}{4}\right)x \cdot (-4) = 3 \cdot (-4)\newlinex=−12x = -12
  3. Property of Equality: Determine which property of equality is used when both sides of an equation are multiplied by the same number.\newlineThe multiplication property of equality states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.
  4. Match Property Used: Match the property used with the given choices.\newlineThe correct property that justifies Emily's first step is the multiplication property of equality.

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