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: 2x+4=y And: x=−1 Then: 2(−1)+4 = y And: −2+4=y So: 2=y(2 points)

Question

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: 2x+4=y And: x=−1 Then: 2(−1)+4 = y And: −2+4=y So: 2=y(2 points)

👇

1 answer
(click or scroll down)

👇

Answer 1

Bot GPT 3.5 answered
1 month ago

In this example, the property being demonstrated is the Substitution Property. This property allows us to substitute the value of a variable with an equal value in an equation to simplify the expression.

In the given example, we are given the equation 2x + 4 = y and the information x = -1. By using the Substitution Property, we can substitute the value of x (-1) into the original equation. So, we replace x with -1 in 2x + 4 = y to get 2(-1) + 4 = y. This simplifies to -2 + 4 = y which further simplifies to 2 = y.

Therefore, the Substitution Property is demonstrated in this example where we substituted the value of x with -1 in the original equation to find the value of y.