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36 votes
36 votes
A. A number is doubled and then increased by 2, the result is equal to 14 more than

5 times the number. What is the number?

User Brendenw
by
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2 Answers

29 votes
29 votes

❄ Hi there,

let us start by letting the number be r. The problem tells us that r is doubled and then increased by 2.

This is what it looks like –


\triangleright \ \sf{2r+2}

Also the result is 14 more than 5r.

We end up with an equation that looks like this –


\triangleright \ \sf{2r+2=14+5r}

To find the number we should solve the equation for r –


\large\begin{gathered} \sf{2r+2=14+5r} . \ Solve \ for \ r: \\ \sf{2r-5r+2=14}\\ \\ \sf{-3r+2=14}\\\sf{-3r=14-2}\\\sf{-3r=12}\\\sf{-r=4}\\\sf{r=-4}\end{gathered}

User PseudoNinja
by
3.1k points
21 votes
21 votes

Answer:

OK

Let x=the number

2x=double the number

2x+5=the doubled number increased by 5

And we are told that this equals -47

sooooo

2x+5=-47 subtract 5 from each side2x=-47-5=-52

2x=-52

x=-26------the number

CK

2*(-26)=-52

-52 increased by 5=-52+5=-47

-47=-47

Hope this helps- Clara ☆*: .。. o(≧▽≦)o .。.:*☆

Explanation:

User Pavel Levin
by
2.7k points