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
