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lora16 [44]
3 years ago
12

HURRY PLEASE

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0
Answers - from top to bottom

7(x - 2) = x + 16
distributive \: property
addition \: property \: of \: equality
7x = x + 30
subtraction \: property \: of \: equality
6x = 30
division \: property \: of \: equality
simplifying





LUCKY_DIMON [66]3 years ago
6 0

Answer:

         Statement                                     Reason

1.  7(x-2)=x+16                             Given

2. 7x-14=x+16                              Distributive property

3. 7x-14+14=x+16+14               Addition property of equality

4. 7x=x+30                                     Simplifying

5. 7x-x=x+30-x                       Subtraction property of equality

6.  6x=30                                         Substitute property of equality

7. \frac{6x}{6}=\frac{30}{6}                                           Division property of equality

8. x=5                                                  Simplifying

Step-by-step explanation:

The given equation is

7(x-2)=x+16

The solution of given equation is x=5.

We need to write a complete proof.

         Statement                                     Reason

1.  7(x-2)=x+16                             Given

2. 7x-14=x+16                              Distributive property

3. 7x-14+14=x+16+14               Addition property of equality

4. 7x=x+30                                     Simplifying

5. 7x-x=x+30-x                       Subtraction property of equality

6.  6x=30                                         Substitute property of equality

7. \frac{6x}{6}=\frac{30}{6}                                           Division property of equality

8. x=5                                                  Simplifying

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