What is an estimate of the solution of the equation 6n+3=2? Use a table

I don't know how to get the answer :(

Strange to ask for an "estimate" for a solution to an equation that can be done mentally.

n = -1/6

no idea what you mean by "use a table".

To find an estimate of the solution for the equation 6n + 3 = 2, we can use a table to substitute different values for 'n' and observe the corresponding values of the equation.

Let's start by creating a table with different values of 'n' and calculating the result of the equation:

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| n | 6n + 3 = 2 |
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| 0 | 3 |
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| 1 | 9 |
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| 2 | 15 |
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By analyzing the values in the second column, we can see that the equation does not equal 2 for any values of 'n' within the table.

However, we can still make an estimate by observing the trend in the table. As 'n' increases, the result of the equation also increases. Since we are looking for the solution where 6n + 3 equals 2, we can approximate that the solution lies somewhere below the value of 'n' where the result is 2.

From the table, we can see that as 'n' increases, the result becomes larger. Therefore, an estimate for the solution would be an 'n' value that is less than 1.

To further refine the estimate, we can perform some calculations. Subtracting 3 from both sides of the equation, we have:

6n = 2 - 3
6n = -1

Dividing both sides of the equation by 6, we find:

n = -1/6

Hence, an estimate of the solution for the equation 6n + 3 = 2 is n ≈ -1/6.