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For each value of v, determine whether it is a solution to =3v15.v Is it a solution?Yes No7 3 8 5

Question

For each value of v, determine whether it is a solution to = 3v15.

Is it a solution?
Yes No
7
3
8
5

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Solution

To determine if each value of v v is a solution to the equation 3v=15v 3v = 15v , we will analyze the equality for each provided value of v v .

1. Break Down the Problem

We are given the equation:

3v=15v 3v = 15v

We need to check whether each value of v v satisfies this equation.

2. Relevant Concepts

To check if each value is a solution, we will isolate v v :

3v15v=0    12v=0    v=0 3v - 15v = 0 \implies -12v = 0 \implies v = 0

This means v v must equal 0 for the equation to hold true.

3. Analysis and Detail

Now we will evaluate each provided value of v v :

  1. For v=7 v = 7 : 3(7)=21and15(7)=105(Not equal) 3(7) = 21 \quad \text{and} \quad 15(7) = 105 \quad \text{(Not equal)} Is it a solution? No

  2. For v=3 v = 3 : 3(3)=9and15(3)=45(Not equal) 3(3) = 9 \quad \text{and} \quad 15(3) = 45 \quad \text{(Not equal)} Is it a solution? No

  3. For v=8 v = 8 : 3(8)=24and15(8)=120(Not equal) 3(8) = 24 \quad \text{and} \quad 15(8) = 120 \quad \text{(Not equal)} Is it a solution? No

  4. For v=5 v = 5 : 3(5)=15and15(5)=75(Not equal) 3(5) = 15 \quad \text{and} \quad 15(5) = 75 \quad \text{(Not equal)} Is it a solution? No

4. Verify and Summarize

All provided values do not satisfy the equation 3v=15v 3v = 15v . The only solution to this equation is v=0 v = 0 .

Final Answer

No, none of the values (7, 3, 8, 5) are solutions to the equation 3v=15v 3v = 15v .

This problem has been solved

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