What property is demonstrated by the following?
y = 3x + 7 and x = 3
y = 3 • 3 + 7
A.reflexive property
B.symmetry
C.transitive property
D.substitution
3 was substituted for x.
Thank you so is the property Subtitution?
I would say so. Reflexive and Transitive apply to verbs, but I have never heard them applied to math.
There is no symmetry in the equation.
A process (substitution) is not a property.
You seem to be taking a rather nontraditional course in math. I believe that is rather a shame, and that useful math skills may not be learned effectively... only a lot of "buzz" words. Good luck.
The property that is demonstrated in this scenario is the substitution property.
To understand why, let's break it down step-by-step:
The given equation is y = 3x + 7.
We are also given that x = 3.
To find the value of y, we can substitute the value of x into the equation:
y = 3 • 3 + 7
After substituting the value of x (which is 3) into the equation, we simplify by performing the multiplication and addition:
y = 9 + 7
y = 16
So, the value of y is 16.
The substitution property states that if two quantities are equal, then you can substitute one for the other in any equation, expression, or inequality. In this case, we substituted the value of x into the original equation to find the value of y.
Therefore, the correct answer is D. substitution.