Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Answer two questions about Equations [tex]$A$[/tex] and [tex]$B$[/tex]:

Equation A: [tex]2x - 1 + 3x = 0[/tex]
Equation B: [tex]5x - 1 = 0[/tex]

1. How can we get Equation B from Equation A?

A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property

Sagot :

GinnyAnswer
To answer the question of how we can get Equation [tex]\( B \)[/tex] from Equation [tex]\( A \)[/tex], we need to carefully examine the steps involved.

Let's break down Equation [tex]\( A \)[/tex]:

[tex]\[ A: \quad 2x - 1 + 3x = 0 \][/tex]

We notice that both [tex]\( 2x \)[/tex] and [tex]\( 3x \)[/tex] are like terms, meaning they both contain the variable [tex]\( x \)[/tex] raised to the same power. We can combine these like terms to simplify the equation:

1. Combine the like terms [tex]\( 2x \)[/tex] and [tex]\( 3x \)[/tex]:
[tex]\[ 2x + 3x = 5x \][/tex]

2. Substitute this back into the equation:
[tex]\[ 5x - 1 = 0 \][/tex]

By combining like terms, we have transformed Equation [tex]\( A \)[/tex]:
[tex]\[ 2x - 1 + 3x = 0 \][/tex]

into Equation [tex]\( B \)[/tex]:
[tex]\[ 5x - 1 = 0 \][/tex]

Thus, the correct answer is:

(C) Rewrite one side (or both) by combining like terms
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.