For the equation, x−5=37
, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence? Explain your answer?
Yes, a value can be substituted for x to make the equation x - 5 = 37 a true number sentence. To find this value, we need to isolate x on one side. Adding 5 to both sides of the equation, we get x = 42.
Therefore, substituting x with 42, the equation becomes 42 - 5 = 37, which is indeed true.
There can only be one value that can be substituted for x to make the equation true. This is because the equation is a linear equation in one variable. Linear equations have, at most, one solution.
To determine whether a value can be substituted for x to make the equation x-5 = 37 true, we need to solve for x.
To isolate x, we can add 5 to both sides of the equation:
x - 5 + 5 = 37 + 5
This simplifies to:
x = 42
Now, we substitute x = 42 into the original equation:
42 - 5 = 37
This equation is true, so the value x = 42 makes the equation x-5 = 37 a true number sentence.
For this specific equation, there is only one value that can be substituted for x and still make it a true number sentence.
It's important to note that in other equations, there may be multiple values that can be substituted for x to make the equation true. It depends on the nature of the equation. However, in this case, there is only one valid substitution.
To determine if a value can be substituted for x to make the equation x−5=37 true, we need to solve for x.
To do so, we can isolate the variable x by undoing the operations in reverse order. We start by undoing the subtraction:
x − 5 + 5 = 37 + 5
Simplifying further:
x = 42
Now that we have found the value of x (which is 42), we can substitute it back into the original equation to verify if it is a true number sentence:
42 − 5 = 37
Simplifying:
37 = 37
Since the equation is true when x = 42, we have one value that can be substituted for x to make it a true number sentence.
Therefore, there is only one value (x = 42) that can be substituted for x to satisfy the equation x−5=37 and make it true.