Answered

Connect with a global community of knowledgeable individuals on IDNLearn.com. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.

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 :

GinnyAnsweridn
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 value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.