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

Question

Klio2033 [76]

2 years ago

11

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 = 14
-2x + 2y = 10
A.Multiplication Property of Equality
B.Addition Property of Equality
C.Division Property of Equality
D.Subtraction Property of Equality

Mathematics

2 answers:

Nookie1986 [14] · Answer 1 · 2022-03-04T11:57:34+03:00

Nookie1986 [14]2 years ago

8 0

Answer:

<h2>A.Multiplication Property of Equality</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+2y=14\\-x+y=5&\text{\underline{multiply both sides by 2}}\end{array}\right\\\\\boxed{\underline{+\left\{\begin{array}{ccc}2x+2y=14\\-2x+2y=10\end{array}\right}}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=24\qquad\text{divide both sides by 4}\\.\qquad\qquad y=6\\\\\text{put the value of y to the second equation:}\\\\-x+6=5\qquad\text{subtract 6 from both sides}\\-x=-1\qquad\text{change the signs}\\x=1$

pantera1 [17] · Answer 2 · 2022-03-04T13:44:59+03:00

pantera1 [17]2 years ago

4 0

Answer: Its Multiplication property of Equality

Step-by-step explanation: Just did the test