Use a table to find the solution of the equation.5a - 8 = 27
To solve the equation 5a - 8 = 27 using a table, we can choose values for "a" and calculate the corresponding value for 5a - 8. Let's choose three different values for "a" and compute the corresponding solutions:
Table:
| a | 5a - 8 |
|-----|--------|
| -5 | -33 |
| 2 | 2 |
| 7 | 27 |
As we can see from the table, a = 7 satisfies the equation 5a - 8 = 27.
To find the solution of the equation 5a - 8 = 27, we can create a table to help us solve for the variable a.
Let's start with an empty table:
| a | 5a - 8 |
|---|--------|
Now, we need to substitute some values for a in the equation and calculate the corresponding values of 5a - 8. Let's choose three values for a to start with:
1. Let a = 0:
Substitute a = 0 into the equation:
5(0) - 8 = 0 - 8 = -8
Fill in the table:
| 0 | -8 |
|---|-------|
2. Let a = 5:
Substitute a = 5 into the equation:
5(5) - 8 = 25 - 8 = 17
Fill in the table:
| 5 | 17 |
|---|-------|
3. Let a = 10:
Substitute a = 10 into the equation:
5(10) - 8 = 50 - 8 = 42
Fill in the table:
| 10 | 42 |
|----|-------|
Now, we can see that when a = 10, the corresponding value of 5a - 8 is 42, which matches the right-hand side of the equation (27).
Therefore, the solution to the equation 5a - 8 = 27 is a = 10.