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.(3 points) show your work
Yes, a value can be substituted for x to make the equation true.
To find the value of x, we can isolate it by performing the inverse operation of subtracting 5 from both sides of the equation.
x - 5 + 5 = 37 + 5 (Adding 5 to both sides)
x = 42
So, a value of 42 can be substituted for x to make the equation x - 5 = 37 true.
There is only one value, 42, that can be substituted for x to make the equation true. This is because there is only one unique solution to the equation when simplified.
To determine if a value can be substituted for x to make the equation x - 5 = 37 true, we can solve the equation.
x - 5 = 37
Adding 5 to both sides of the equation:
x - 5 + 5 = 37 + 5
This simplifies to:
x = 42
Therefore, the value that can be substituted for x is 42 in order to make the equation true.
In this case, there is only one value, 42, that can be substituted for x to make the equation a true number sentence.