Question

Diego solved an equation by multiplying both sides of the equation by 6. Then he checked that 6 is the correct solution by substituting it back into the original equation. Which of the following gives the properties of equality that he used and their correct order?

substitution property of equality and multiplication property of equality
multiplication property of equality and addition property of equality
multiplication property of equality and substitution property of equality
transitive property of equality and substitution property of equality

Answer 1

Diego used the multiplication property of equality to solve the equation and the substitution property of equality to check the solution.

Step-by-step explanation:

Diego used the multiplication property of equality to solve the equation by multiplying both sides by 6. This property states that as long as we perform the same operation on both sides of the equals sign, the expression remains an equality. After solving the equation, Diego used the substitution property of equality by substituting the value 6 back into the original equation to check if it was correct.

Answer 2

Based on the given condition Diego utilized, it can be said that he used multiplication property when he multiplied both sides of the equation by 6 and then substitution property when he substituted 6 to the original equation.
(c) Multiplication property of equality and substitution property of equality