ZeroNakamura
contestada

The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason in the proof.

Statements Reasons
2x + 2y = 14−x + y = 5 Given
2x + 2y = 14y = x + 5 ?

A.) Multiplication Property of Equality

B.) Addition Property of Equality

C.) Division Property of Equality

D.) Subtraction Property of Equality

Respuesta :

Answer:

Addition property of equality

Step-by-step explanation:

Given:

[tex]2x+2y=14 \ -x+y = 5[/tex]

We need to find the missing reason in the proof.

Solution:

By solving the above equation we get;

[tex]2x+2y=14 \ -x+y = 5[/tex] ⇒ Given:

Now by adding both side by 'x' we get;

[tex]2x+2y=14 \ -x+y+x = 5+x[/tex]

[tex]2x+2y=14 \ y = x+5[/tex]  ⇒ Addition property of equality

Hence The missing reason in the proof was Addition Property of equality.

Otras preguntas