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 equation. Which of the following gives the properties of equality that he used and their correct order?

a)substitution property of equality and multiplication property of equality

b) multiplication property of equality and addition property of equality

c)multiplication property of equality and substitution property of equality

d)transitive property of equality and substitution property of equality

Answer 1

I believe your answer would be c

Answer 2

Option C is correct.

Explanation:

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 equation.

The properties that Diego used are :

C: multiplication property of equality and substitution property of equality

The multiplication property of equality states that if we multiply both sides of an equation by the same number, the sides remain equal.

And the substitution property of equality states that if x = y, then x can be substituted in for y in any equation. Similarly, y can be substituted for x in any equation.

Therefore, Diego used both these properties. (Option c)