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

Substitution property of equality

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