Answered

IDNLearn.com offers expert insights and community wisdom to answer your queries. Join our knowledgeable community and access a wealth of reliable answers to your most pressing questions.

Answer two questions about Equations [tex]\( A \)[/tex] and [tex]\( B \)[/tex]:

[tex]\[ A. \quad 3x - 1 = 7 \][/tex]
[tex]\[ B. \quad 3x = 8 \][/tex]

1. How can we get Equation [tex]\( B \)[/tex] from Equation [tex]\( A \)[/tex]?

Choose 1 answer:
A. Multiply/divide both sides by the same non-zero constant
B. Multiply/divide both sides by the same variable expression
C. Add/subtract the same quantity to/from both sides
D. Add/subtract a quantity to/from only one side

Sagot :

GinnyAnsweridn
Absolutely! Let's carefully analyze how we can transform Equation [tex]\(A\)[/tex] into Equation [tex]\(B\)[/tex].

Given equations:
- Equation [tex]\(A\)[/tex]: [tex]\(3x - 1 = 7\)[/tex]
- Equation [tex]\(B\)[/tex]: [tex]\(3x = 8\)[/tex]

Steps to transform Equation [tex]\(A\)[/tex] to Equation [tex]\(B\)[/tex]:

1. Starting with Equation [tex]\(A\)[/tex]:
[tex]\[ 3x - 1 = 7 \][/tex]

2. Isolate the term involving [tex]\(x\)[/tex]:
- To eliminate the [tex]\(-1\)[/tex] on the left side, we need to add [tex]\(1\)[/tex] to both sides of the equation.
- Adding [tex]\(1\)[/tex] to both sides:
[tex]\[ 3x - 1 + 1 = 7 + 1 \][/tex]
- Simplify both sides:
[tex]\[ 3x = 8 \][/tex]

3. Resulting Equation:
[tex]\[ 3x = 8 \][/tex]
- As you can see, this matches Equation [tex]\(B\)[/tex].

Conclusion:
- The transformation involves adding [tex]\(1\)[/tex] to both sides of Equation [tex]\(A\)[/tex] to achieve Equation [tex]\(B\)[/tex].

Correct Answer:
[tex]\[ \text{(C) Add/subtract the same quantity to/from both sides} \][/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.