Please please help
Provide the missing statement and reasons for the following proof:

Given: 9(x−6)+41=75Prove: x=889
Given:


9
(
x
-
6
)
+
41
=
75
Prove:


x
=
88
9

Please please help Provide the missing statement and reasons for the following proof Given 9x64175Prove x889 Given 9 x 6 41 75 Prove x 88 9 class=

Respuesta :

Answer:

Reason 1 ) Subtraction Property of Equality

Reason 2 ) Substitution Property of Equality

Statement 3 ) 9x - 54 = 34

Reason 4 )  Addition Property of Equality

Reason 5 )  Division Property of Equality

Step-by-step explanation:

Let's me know if it wrong.

The missing statement and reason for the proof that the solution of 9(x  -  6)  +  41   =  75 is x = 88/9 are:

S3:  9x  -  54  =  34

R1:  Given

R2: Subtraction property of equality

R3: Distributive property

R4: Subtraction property of equality

R5: Division property of equality

The given equation is:

Statement1:   9(x  -  6)  +  41   =  75

Reason 1:  Given

Collect like terms

9(x - 6) =  75  -  41

Statement 2:  9(x  -  6)   =  34

Reason 2:  Subtraction property of equality

Expand the equation using distributive rule

Statement 3: 9x  -  54  =  34

Reason 3: Distributive property

Collect like terms in the equation 9x - 54  =  34

9x  =  34  +  54

Statement 4:  9x  =  88

Reason 4: Subtraction property of equality

Divide both sides by 9 in the equation 9x  = 88

Statement 5:  x  =  88/9

Reason 5: Division property of equality

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