When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step? Original Equation: (1)/(3)x=3 First Step: x=9 addition property of equality multiplication property of equality commutative property of multiplication subtraction property of equality

Initial Equation: Gabrielle's first step in solving the equation is to go from (1/3)x = 3 to x = 9. To justify this step, we need to determine which property allows us to go from the original equation to the first step. Let's analyze the step: Original Equation: (1/3)x = 3 First Step: x = 9 To isolate x, we need to eliminate the fraction (1/3) that is being multiplied by x. To do this, we can multiply both sides of the equation by the reciprocal of (1/3), which is 3. This is because multiplying by the reciprocal will cancel out the (1/3) on the left side, leaving us with just x. Calculation: (1/3)x * 3 = 3 * 3 x = 9 This step is justified by the multiplication property of equality, which states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

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

x=9
addition property of equality
multiplication property of equality
commutative property of multiplication
subtraction property of equality

When solving an equation, Gabrielle's first step is shown below. Which property justifies Gabrielle's first step? $\newline$ Original Equation: $\newline$ $\frac{1}{3} x=3$ $\newline$ First Step: $\newline$ $x=9$ $\newline$ addition property of equality $\newline$ multiplication property of equality $\newline$ commutative property of multiplication $\newline$ subtraction property of equality

View step-by-step help

Home

Math Problems

Algebra 2

Identify properties of logarithms

Full solution

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

\newline

Original Equation:

\newline

\frac{1}{3} x=3

\newline

First Step:

\newline

x=9

\newline

addition property of equality

\newline

multiplication property of equality

\newline

commutative property of multiplication

\newline

subtraction property of equality

Initial Equation: Gabrielle's first step in solving the equation is to go from $(\frac{1}{3})x = 3$ to $x = 9$ . To justify this step, we need to determine which property allows us to go from the original equation to the first step. Let's analyze the step: $\newline$ Original Equation: $(\frac{1}{3})x = 3$ $\newline$ First Step: $x = 9$ $\newline$ To isolate $x$ , we need to eliminate the fraction $(\frac{1}{3})$ that is being multiplied by $x$ . To do this, we can multiply both sides of the equation by the reciprocal of $(\frac{1}{3})$ , which is $3$ . This is because multiplying by the reciprocal will cancel out the $(\frac{1}{3})$ on the left side, leaving us with just $x$ . $\newline$ Calculation: $\newline$ $x = 9$ $1$ $\newline$ $x = 9$ $\newline$ This step is justified by the multiplication property of equality, which states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.