For the equation m+3=m+4 can you substitute a value for m to make this a true number sentence? Make sure to explain your answer.
No, it is not possible to substitute a value for m to make the equation m+3=m+4 a true number sentence.
When we examine the equation, we notice that both sides have the same expression m, accompanied by different constants (3 on the left side and 4 on the right side). No matter what value we substitute for m, the equation will always result in an inconsistency.
For example, let's consider the substitution m = 5:
On the left side, we have 5 + 3 = 8.
On the right side, we have 5 + 4 = 9.
Since 8 is not equal to 9, the equation m+3=m+4 is not satisfied for m = 5. This inconsistency will persist regardless of the value chosen for m, and thus, there is no possible value of m that makes the equation true.
Sure! Let's solve the equation step by step and find a value for "m" that makes it true.
Step 1: Start with the given equation:
m + 3 = m + 4
Step 2: Simplify the equation by combining like terms. Notice that both sides of the equation have "m", so we can subtract "m" from both sides to eliminate it:
3 = 4
Step 3: From step 2, we have an equation that says 3 is equal to 4, which is not possible. In order for the equation to be true, both sides must be equal.
Conclusion: There is no value of "m" that can be substituted to make this equation a true number sentence.
To determine whether the equation m + 3 = m + 4 can be made true by substituting a value for m, we need to understand the properties of equality and how to solve equations.
The equation m + 3 = m + 4 means that the sum of m and 3 is equal to the sum of m and 4. In order for this equation to be true, both sides of the equation need to be equal. To solve for m, we want to isolate the variable on one side of the equation.
If we subtract m from both sides of the equation, we have 3 = 4. However, this is not a true statement. The reason is that 3 is not equal to 4.
Therefore, no matter what value we substitute for m, we will not be able to make the equation m + 3 = m + 4 a true number sentence.