382,838 views
38 votes
38 votes
5 times a certain number plus 2 times that number plus 2 is 16 what is the number​

User Kvivek
by
2.6k points

2 Answers

18 votes
18 votes

Answer:

The number is

2

Step-by-step explanation:

Let

n

represent the number.

Translating the given statement into algebraic notation, we have

XXX

5

n

+

2

n

+

2

=

16

Therefore

XXX

7

n

+

2

=

16

XXX

7

n

=

14

XXX

n

=

2

answered by: Alan P.

User Jorge Mussato
by
3.2k points
18 votes
18 votes

let the number be x

ATQ


\\ \sf\longmapsto 5x+2x+2=16


\\ \sf\longmapsto (5+2)x+2=16


\\ \sf\longmapsto 7x+2=16


\\ \sf\longmapsto 7x=16-2


\\ \sf\longmapsto 7x=14


\\ \sf\longmapsto x=(14)/(7)


\\ \sf\longmapsto x=2

User Tyhal
by
2.6k points
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