Use a table to find the solution of the equation. If the solution lies between two consecutive integers, identify those integers.
32.9=5n-3 (Use a comma to separate answers as needed.)
If the solution is an integer, type this integer. Otherwise, type the two consecutive integers between which the solution lies.
To solve the equation 32.9 = 5n - 3, we can create a table with different values of n and evaluate the equation:
| n | 5n - 3 |
|---|--------|
| 0 | -3 |
| 1 | 2 |
| 2 | 7 |
| 3 | 12 |
| 4 | 17 |
| 5 | 22 |
| 6 | 27 |
| 7 | 32 |
| 8 | 37 |
| 9 | 42 |
We can see that there is no integer solution to the equation. Therefore, the solution lies between two consecutive integers. In this case, the solution lies between n = 6 and n = 7.
noo
Apologies for the incorrect response. Let's attempt to solve the equation correctly:
To solve 32.9 = 5n - 3, let's isolate n:
32.9 + 3 = 5n
35.9 = 5n
Now, divide both sides of the equation by 5 to solve for n:
35.9/5 = n
7.18 = n
So, the solution to the equation is n = 7.18.
However, if we are only considering integer solutions, we need to find the two consecutive integers between which 7.18 lies.
The integer value closest to 7.18 is 7, and the next consecutive integer is 8. Therefore, the solution lies between integers 7 and 8.
To find the solution of the equation 32.9 = 5n - 3 using a table, we can substitute different values of n and solve for the corresponding values of the equation.
Let's create a table and substitute values of n:
| n | 5n - 3 |
|---|--------|
| 0 | -3 |
| 1 | 2 |
| 2 | 7 |
| 3 | 12 |
| 4 | 17 |
| 5 | 22 |
| 6 | 27 |
| 7 | 32 |
| 8 | 37 |
From the table, we can see that when n = 7, the equation 5n - 3 equals 32.
Therefore, the solution to the equation 32.9 = 5n - 3 lies between two consecutive integers - 7 and 8.