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

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

x=-12
associative property of addition
multiplication property of equality
subtraction property of equality
commutative property of multiplication

When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?\newlineOriginal Equation:\newline13x=4 \frac{1}{3} x=-4 \newlineFirst Step:\newlinex=12 x=-12 \newlineassociative property of addition\newlinemultiplication property of equality\newlinesubtraction property of equality\newlinecommutative property of multiplication

Full solution

Q. When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?\newlineOriginal Equation:\newline13x=4 \frac{1}{3} x=-4 \newlineFirst Step:\newlinex=12 x=-12 \newlineassociative property of addition\newlinemultiplication property of equality\newlinesubtraction property of equality\newlinecommutative property of multiplication
  1. Verify Drew's Calculation: Drew's original equation is (13)x=4(\frac{1}{3})x = -4. To isolate xx, Drew multiplies both sides of the equation by 33. Let's perform the calculation to see if Drew's first step is correct.\newline(13)x×3=4×3(\frac{1}{3})x \times 3 = -4 \times 3\newlinex=12x = -12
  2. Identify Property of Equality: Now, let's identify the property of equality that justifies this step. Multiplying both sides of an equation by the same nonzero number does not change the equality, which is known as the Multiplication Property of Equality.

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