When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step? Original Equation: 5x+5=-5 First Step: 5x=-10 commutative property of addition subtraction property of equality associative property of multiplication multiplication property of equality

Start with original equation: Emily starts with the original equation: 5x + 5 = -5 Her first step is to isolate the variable term (5x) by getting rid of the constant term (+5) on the same side. She does this by subtracting 5 from both sides of the equation: 5x + 5 - 5 = -5 - 5 This simplifies to: 5x = -10 The operation used here is subtraction, and it is applied to both sides of the equation to maintain equality.Isolate variable term: By subtracting 5 from both sides of the equation, Emily is using the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, 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, Emily's first step is shown below. Which property justifies Emily's first step?
Original Equation:

5x+5=-5
First Step:

5x=-10
commutative property of addition
subtraction property of equality
associative property of multiplication
multiplication property of equality

When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step? $\newline$ Original Equation: $\newline$ $5 x+5=-5$ $\newline$ First Step: $\newline$ $5 x=-10$ $\newline$ commutative property of addition $\newline$ subtraction property of equality $\newline$ associative property of multiplication $\newline$ multiplication property of equality

View step-by-step help

Home

Math Problems

Algebra 1

Properties of equality

Full solution

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

\newline

Original Equation:

\newline

5 x+5=-5

\newline

First Step:

\newline

5 x=-10

\newline

commutative property of addition

\newline

subtraction property of equality

\newline

associative property of multiplication

\newline

multiplication property of equality

Start with original equation: Emily starts with the original equation: $\newline$ $5x + 5 = -5$ $\newline$ Her first step is to isolate the variable term ( $5x$ ) by getting rid of the constant term (+ $5$ ) on the same side. She does this by subtracting $5$ from both sides of the equation: $\newline$ $5x + 5 - 5 = -5 - 5$ $\newline$ This simplifies to: $\newline$ $5x = -10$ $\newline$ The operation used here is subtraction, and it is applied to both sides of the equation to maintain equality.
Isolate variable term: By subtracting $5$ from both sides of the equation, Emily is using the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal.