When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step? Original Equation: 5(x+5)=2 First Step: 5x+25=2 distributive property of multiplication over addition subtraction property of equality commutative property of addition associative property of multiplication

Apply Distributive Property: Francesca's first step is to go from the original equation 5(x+5)=2 to the equation 5x+25=2. This step involves applying a property of operations to expand the expression 5(x+5). The property used here is the distributive property of multiplication over addition, which states that a(b+c) = ab + ac. In this case, a=5, b=x, and c=5, so the distributive property gives us 5*x + 5*5, which simplifies to 5x + 25.

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

5(x+5)=2
First Step:

5x+25=2
distributive property of multiplication over addition
subtraction property of equality
commutative property of addition
associative property of multiplication

When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step? $\newline$ Original Equation: $\newline$ $5(x+5)=2$ $\newline$ First Step: $\newline$ $5 x+25=2$ $\newline$ distributive property of multiplication over addition $\newline$ subtraction property of equality $\newline$ commutative property of addition $\newline$ associative property of multiplication

View step-by-step help

Home

Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

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

\newline

Original Equation:

\newline

5(x+5)=2

\newline

First Step:

\newline

5 x+25=2

\newline

distributive property of multiplication over addition

\newline

subtraction property of equality

\newline

commutative property of addition

\newline

associative property of multiplication

Apply Distributive Property: Francesca's first step is to go from the original equation $5(x+5)=2$ to the equation $5x+25=2$ . This step involves applying a property of operations to expand the expression $5(x+5)$ . The property used here is the distributive property of multiplication over addition, which states that $a(b+c) = ab + ac$ . In this case, $a=5$ , $b=x$ , and $c=5$ , so the distributive property gives us $5\times x + 5\times 5$ , which simplifies to $5x + 25$ .