Question

The true conditional statement, "If 5x + 7 = 2x - 1, then 3x + 7 = -1," illustrates which property of equality?

Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality

Answer 1

If 5x + 7 = 2x - 1, then 3x + 7 = -1

answer is
Subtraction Property of Equality

Answer 2

Answer: The correct option is second, i.e., Subtraction Property of Equality.

Step-by-step explanation:

The given equation is,

`5x+7=2x-1`

The Subtraction Property of Equality states that if a, b and c are real numbers then,
`a=b` and
`a-c=b-c` are equivalent equations.

Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,

`5x+7-2x=2x-1-2x`

Then combined like terms,

`(5x-2x)+7=(2x-2x)-1`

`3x+7=-1`

It is the required equation.

Hence, second option is correct.