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

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 use a table to find the solution.

We can start by substituting different values of n and finding the corresponding value of 5n - 3 until we find a value that equals 32.9.

Let's create a table:

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 5n - 3 equals 32 for n = 7. Therefore, the solution of the equation is 7.

So, the solution is an integer, and the integer is 7.

To find the solution of the equation 32.9 = 5n - 3, we can create a table by substituting different values for n.

Let's start by assuming n as an integer.

If n = 1,
5n - 3 = 5(1) - 3 = 5 - 3 = 2, which is not equal to 32.9.

If n = 2,
5n - 3 = 5(2) - 3 = 10 - 3 = 7, which is not equal to 32.9.

If n = 3,
5n - 3 = 5(3) - 3 = 15 - 3 = 12, which is not equal to 32.9.

If n = 4,
5n - 3 = 5(4) - 3 = 20 - 3 = 17, which is not equal to 32.9.

If n = 5,
5n - 3 = 5(5) - 3 = 25 - 3 = 22, which is not equal to 32.9.

If n = 6,
5n - 3 = 5(6) - 3 = 30 - 3 = 27, which is not equal to 32.9.

If n = 7,
5n - 3 = 5(7) - 3 = 35 - 3 = 32, which is not equal to 32.9.

If n = 8,
5n - 3 = 5(8) - 3 = 40 - 3 = 37, which is not equal to 32.9.

If n = 9,
5n - 3 = 5(9) - 3 = 45 - 3 = 42, which is not equal to 32.9.

If n = 10,
5n - 3 = 5(10) - 3 = 50 - 3 = 47, which is not equal to 32.9.

From the table, we can see that none of the integer values of n satisfies the equation 32.9 = 5n - 3.

Hence, the solution does not lie between two consecutive integers.