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.

3 answers

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.