Explain which property, either the Reflexive, Symmetric, Transitive or Substitution, is shown in the following example: (Explaining means just identifying the property is not sufficient - you must explain WHY that is the property you have identified in the given example.)
If: x+2=y And: y=4-z Then:x+2=4-z
The property shown in this example is the Substitution property.
This is because we are substituting the value of y from the second equation into the first equation. By doing so, we are replacing the variable y with the expression 4-z in the equation x+2=y to get x+2=4-z. This is an example of the Substitution property because we are substituting a value or expression for a variable in an equation.