Question

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,
then 4(2y+1) + 9 = 15.
Distributive Property
Multiplication Property of Equality
Transitive Property of Equality
Substitution Property of Equality

Answer 1

Answer:

Substitution property of equality

Step-by-step explanation:

Given

$4x + 9 = 15$ and $x = 2y + 1$

Then

$4(2y + 1) + 9 = 15$

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If $a = b$ then $b = a$

In other words, both can replace one another.

So if $x = 2y + 1$, then 2y + 1 can be substituted for x in $4x + 9 = 15$

So:

$4x + 9 = 15$  becomes

$4(2y + 1) + 9 = 15$

Hence, it is substitution property of equality