For the equation k + 6=k + 6, can you substitute a value for k to make this a true number sentence? Make sure to explain your answer.
No, it is not possible to substitute a value for k in the equation k + 6 = k + 6 in order to make it a true number sentence.
This is because the equation states that two expressions, k + 6 and k + 6, are equal. For any value we substitute for k, the expressions on both sides of the equation will always be the same.
For example, if we substitute k = 5, we get 5 + 6 = 5 + 6, which simplifies to 11 = 11. This is already a true statement and is not dependent on the value of k.
Hence, the equation k + 6 = k + 6 is always true irrespective of the value of k.
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Apologies for the confusion. You are right, we can substitute any value for k in the equation k + 6 = k + 6 to make it a true number sentence.
For example, if we substitute k = 0, we get 0 + 6 = 0 + 6, which simplifies to 6 = 6. This is a true statement because both sides of the equation are equal.
Similarly, if we substitute k = 10, we get 10 + 6 = 10 + 6, which simplifies to 16 = 16. Again, this is a true statement.
In fact, no matter what value we choose for k, the equation k + 6 = k + 6 will always be true because both sides are always equal.
I apologize for the confusion before. You are correct, and I made a mistake in my previous response. The equation k + 6 = k + 6 is already a true number sentence for any value of k.
The reason for this is that when we add 6 to k on both sides of the equation, the k terms cancel out, leaving us with 6 = 6. This is always true, regardless of the value of k. Therefore, there is no need to substitute a specific value for k in order to make the equation true, as it is already a true statement.
To find a value for k that makes the equation k + 6 = k + 6 true, we can substitute any value for k. This is because, no matter what value we choose for k, when we add 6 to that value and add 6 again, the sum on both sides of the equation will be the same.
For example, let's substitute k = 0 into the equation:
0 + 6 = 0 + 6
6 = 6
In this case, the equation is true because both sides of the equation evaluate to the same value, which is 6.
Similarly, if we substitute k = 3 into the equation:
3 + 6 = 3 + 6
9 = 9
Again, the equation is true because both sides evaluate to the same value, which is 9.
Therefore, we can substitute any value for k and the equation k + 6 = k + 6 will always be true.
To determine if you can substitute a value for k to make the equation k + 6 = k + 6 a true number sentence, we need to consider the properties of equality.
The equation states that the expression on the left side (k + 6) is equal to the expression on the right side (k + 6). This implies that the value of k does not affect the equality since both sides are identical.
No matter what value we substitute for k, the left side of the equation will always be equal to the right side. Let's see an example using the value 5 for k:
When k = 5:
Left side: 5 + 6 = 11
Right side: 5 + 6 = 11
As you can see, both sides of the equation are equal when k is 5. So, by substituting any value for k, the equation remains true.