Question

14. Let g represent Gupta's age. You can solve the equation 2g - 5+ g = 31 to find g. Which property would not be used in solving this equation? A. Addition Property of Equality B. Commutative Property of Addition C. Division Property of Equality D. Subtraction Property of Equality

Answer 1

B. Commutative Property of Addition

Step-by-step explanation:

To find out the property that would not be used in solving this equation, we solve for g.

`\begin{gathered} 2g-5+g=31 \\ 3g-5=31 \\ \text{Add 5 to both sides} \\ 3g-5+5=31+5 \\ 3g=36 \\ \text{Divide both sides by 3} \\ (3g)/(3)=(36)/(3) \\ g=12 \end{gathered}`

We have applied the following:

A. Addition Property of Equality/D. Subtraction Property of Equality​

C. Division Property of Equality

Therefore, the property that would not be used is:

B. Commutative Property of Addition