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

Respuesta :

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

answer is
Subtraction Property of Equality

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

Explanation:

The given equation is,

[tex]5x+7=2x-1[/tex]

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

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

[tex]5x+7-2x=2x-1-2x[/tex]

Then combined like terms,

[tex](5x-2x)+7=(2x-2x)-1[/tex]

[tex]3x+7=-1[/tex]

It is the required equation.

Hence, second option is correct.

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