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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
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