The sum of two times a number and 7 is five times the difference of a number and six. Solve for the variable then Round your answer to the nearest hundredths.

Respuesta :

Answer:

12.33

Step-by-step explanation:

let 'n' = a number

2n + 7 = 5(n - 6)

2n + 7 = 5n - 30

-3n = -37

n = 37/3 or 12.33

The variable is 12 for the given expression.

What is variable?

The quantity that may change within the context of mathematical problem or experiment is called variable.

We have,

Sum of two times a number and 7 = five times the difference of a number and 6

Let us assume the variable as 'n'

According to the question, we have

[tex]2n+7=5(n-6)[/tex]

⇒[tex]2n+7=5n-30[/tex]

⇒[tex]-5n+2n=-30-7[/tex]

⇒[tex]-3n=-37[/tex]

⇒[tex]n=\frac{-37}{-3}[/tex]

⇒[tex]n=\frac{37}{3}[/tex]

⇒[tex]n=12.333[/tex]

⇒[tex]n=12[/tex]  (round off to nearest hundred)

Variable(Number) = 12

Learn more about Variable here

https://brainly.com/question/24346515

#SPJ2