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 that would make the equation m + 3 = m + 4 a true number sentence.
This is because in the equation, both sides start with m. Whatever value we substitute for m, it will remain the same on both sides. So the equation will always remain the same, regardless of the value of m. Adding 3 to m on one side of the equation and adding 4 to m on the other side will not change the fact that both sides are equal to each other. Therefore, there is no value of m that will make this equation true.
To determine if there is a value of m that can make the equation m + 3 = m + 4 true, we'll need to perform some algebraic manipulation.
Starting with the given equation: m + 3 = m + 4
To solve this equation, we'll aim to isolate the variable m on one side of the equation. We can do this by subtracting m from both sides:
m - m + 3 = m - m + 4
0 + 3 = 0 + 4
This simplifies to:
3 = 4
However, we can observe that this statement is not true. No matter what value we substitute for m, the left side of the equation will always be 3, while the right side will always be 4. Therefore, there is no value of m that will make this equation true.
To determine if there is a value of m that can make the equation m + 3 = m + 4 a true number sentence, we need to solve the equation and see if the solution satisfies the equation.
Let's start by simplifying the equation:
m + 3 = m + 4
To isolate the variable 'm', we can subtract 'm' from both sides of the equation:
m - m + 3 = m - m + 4
This simplifies to:
3 = 4
We can clearly see that 3 is not equal to 4. Therefore, there is no value of 'm' that can make this equation a true number sentence. In other words, this equation has no solutions.