Question

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?

Answer 1

❄ 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}`

❄

Answer 2

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: