Question

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

Answer 1

Step-by-step explanation:

Answer:

A.Multiplication Property of Equality

Step-by-step explanation:

\begin{gathered}\left\{\begin{array} {ccc}2x+2y=14\\ x+y=5&\text{\underline{multiply both

sides by

2}}\end{array}\right\\\\\boxed{\underline

{\begin{array} {ccc}2x+2y=14\\-2x+2y=10\end{array}\rig

both sides of the equations}\\.\qquad\qquad4y=24\qquad

bot 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\end{gathered}

hope it helps mark as brainliest pls