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 true. To find the value that satisfies the equation, we can isolate x by adding 5 to both sides of the equation:
x - 5 + 5 = 37 + 5
x = 42
By substituting x = 42 back into the equation, we obtain:
42 - 5 = 37
Since this is a true statement, we know that x = 42 is a value that can be substituted to make the equation true.
However, there is only one value that can be substituted for x to make the equation true. This is because the given equation does not contain any variables or any unknowns other than x. Therefore, there is no flexibility or room for multiple values to satisfy the equation. The equation is straightforward and only holds true when x is equal to 42.
To determine if there can be a value substituted for x to make the equation x-5=37 a true number sentence, we need to solve for x.
1. Begin by isolating the x term by adding 5 to both sides of the equation:
x - 5 + 5 = 37 + 5
x = 42
2. The resulting solution is x = 42.
Hence, only one value, 42, can be substituted for x to make the equation x-5=37 a true number sentence. This is because when x is equal to 42 in the equation, we have 42 - 5 = 37, which is a true statement.