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The following proof shows an equivalent system of equations created from another system of equations. 2x + 2y = 14 −x + y = 5 Given 2x + 2y = 14 y = x + 5 Fill in the missing reason in the proof. Statements Reasons 2x + 2y = 14 −x + y = 5 Given 2x + 2y = 14 y = x + 5 ? Multiplication Property of Equality Addition Property of Equality Division Property of Equality Subtraction Property of Equality

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lucic

Addition Property of Equality

Step-by-step explanation:

The equations are given as;

2x+2y=14----(i)

y-x=5 ?-------apply addition property of equality

y-x+x=5+x

y=5+x -------use this expression in equation (i)

2x +2(5+x)=14 ----------open brackets on the left side

2x+10+2x=14 -------collect like terms

4x+10=14

4x=14-10

4x=4

4x/4=4/4

x=1

y-1=5

y=6

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Addition property of Equality :https://brainly.com/question/3474035

Keywords: proof,shows, equivalent,system of equations

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ShaniahPoweska

Answer:

the answer is Addition Property of Equality Subtraction

Step-by-step explanation:

I did the test

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