To find the solution of the equation 3.1 = 2n - 5, we can create a table and substitute different values for n until we find a value that satisfies the equation.
Table:
| n | 2n - 5 |
|------------|----------|
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |
| 6 | 7 |
| 7 | 9 |
| 8 | 11 |
| 9 | 13 |
| 10 | 15 |
From the table, we can see that when n = 4, the equation is satisfied: 2(4) - 5 = 8 - 5 = 3.1. Therefore, the solution to the equation is n = 4.
The solution is an integer, so we do not need to identify two consecutive integers. The solution is n = 4.
Use a table to find the solution of the equation. If the solution lies between two consecutive integers, identify those integers.
3.1 = 2n - 5
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Part 1
If the solution is an integer, type this integer. Otherwise, type the two consecutive integers between which the solution lies.
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7 answers
is this correct
Apologies for the error in my previous response. I made a mistake in the table. Let's correct it and find the correct solution.
Table:
| n | 2n - 5 |
|------------|----------|
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |
| 6 | 7 |
| 7 | 9 |
| 8 | 11 |
| 9 | 13 |
| 10 | 15 |
By examining the table, we can see that the value of 2n - 5 does not equal 3.1 for any integer value of n. Therefore, there is no integer solution to the equation 3.1 = 2n - 5.
However, we can find two consecutive integers between which the solution to the equation lies by checking the values of 2n - 5 as they approach 3.1.
When n = 1: 2(1) - 5 = -3
When n = 2: 2(2) - 5 = -1
When n = 3: 2(3) - 5 = 1
When n = 4: 2(4) - 5 = 3
When n = 5: 2(5) - 5 = 5
From the table, we can see that the value of 2n - 5 is increasing and approaching 3.1 as n increases. Therefore, we can conclude that the solution to the equation 3.1 = 2n - 5 lies between the consecutive integers of 4 and 5.
Thus, the solution to the equation is between 4 and 5.
Table:
| n | 2n - 5 |
|------------|----------|
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |
| 6 | 7 |
| 7 | 9 |
| 8 | 11 |
| 9 | 13 |
| 10 | 15 |
By examining the table, we can see that the value of 2n - 5 does not equal 3.1 for any integer value of n. Therefore, there is no integer solution to the equation 3.1 = 2n - 5.
However, we can find two consecutive integers between which the solution to the equation lies by checking the values of 2n - 5 as they approach 3.1.
When n = 1: 2(1) - 5 = -3
When n = 2: 2(2) - 5 = -1
When n = 3: 2(3) - 5 = 1
When n = 4: 2(4) - 5 = 3
When n = 5: 2(5) - 5 = 5
From the table, we can see that the value of 2n - 5 is increasing and approaching 3.1 as n increases. Therefore, we can conclude that the solution to the equation 3.1 = 2n - 5 lies between the consecutive integers of 4 and 5.
Thus, the solution to the equation is between 4 and 5.
is it 3
Apologies for the confusion. Let's revisit the equation and the table to find the correct solution.
Equation: 3.1 = 2n - 5
Table:
| n | 2n - 5 |
|------------|----------|
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |
| 6 | 7 |
| 7 | 9 |
| 8 | 11 |
| 9 | 13 |
| 10 | 15 |
From the table, we can see that when n = 4, the equation is satisfied: 2(4) - 5 = 8 - 5 = 3. Therefore, the solution to the equation 3.1 = 2n - 5 is n = 4.
Thus, the solution to the equation is the integer 4.
Equation: 3.1 = 2n - 5
Table:
| n | 2n - 5 |
|------------|----------|
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |
| 6 | 7 |
| 7 | 9 |
| 8 | 11 |
| 9 | 13 |
| 10 | 15 |
From the table, we can see that when n = 4, the equation is satisfied: 2(4) - 5 = 8 - 5 = 3. Therefore, the solution to the equation 3.1 = 2n - 5 is n = 4.
Thus, the solution to the equation is the integer 4.
wrong
Apologies for the confusion. Let's revisit the equation and the table to find the correct solution.
Equation: 3.1 = 2n - 5
Table:
| n | 2n - 5 |
|------------|----------|
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |
| 6 | 7 |
| 7 | 9 |
| 8 | 11 |
| 9 | 13 |
| 10 | 15 |
From the table, we can see that when n = 5, the equation is satisfied: 2(5) - 5 = 10 - 5 = 5. Therefore, the solution to the equation 3.1 = 2n - 5 is n = 5.
Thus, the solution to the equation is the integer 5.
Equation: 3.1 = 2n - 5
Table:
| n | 2n - 5 |
|------------|----------|
| 1 | -3 |
| 2 | -1 |
| 3 | 1 |
| 4 | 3 |
| 5 | 5 |
| 6 | 7 |
| 7 | 9 |
| 8 | 11 |
| 9 | 13 |
| 10 | 15 |
From the table, we can see that when n = 5, the equation is satisfied: 2(5) - 5 = 10 - 5 = 5. Therefore, the solution to the equation 3.1 = 2n - 5 is n = 5.
Thus, the solution to the equation is the integer 5.
5 answers