Nine more then a number is the same as one less than twice the number? Can you help me plz?

Answer 1

Since we don't know what the number is, we can use a variable to represent it. Let's use n.

"nine more than twice the number" means "the number plus 9" which is n+9

"the same as" means "equals"

"one less than" means minus 1 and "twice the number" is two times the number, so "one less than twice the number" means "two times the number, minus 1" which is 2n-1

Putting this all together:

n + 9 = 2n - 1

Now we can solve the equation. Start by adding 1 to both sides:

n + 9 + 1 = 2n - 1 + 1

n + 10 = 2n

Now subtract n from both sides:

n + 10 - n = 2n - n

10 = n

The number is 10.

Check your work:

Nine more than 10 is 19

Twice 10 is 20, and one less than that is 19

They are the same

Answer 2

Nine more than a number is the same as one less than twice the number?

We are asked to write an equation from the given imformation.

First, let's go over some vocabulary. "is the same as" is the same as equal to.

So nine more than a number = one less than twice a number.

Let's break this down. We will use x as our unknown number.

"nine more than a number" is written as x+9

"twice a number" is written as 2x

"one less than twice a number" is written as 2x-1

So the equation is x+9=2x-1

Use that equation to solve for x

Answer 3

nine more than a number is 9+x while one less than twice a number is 2x-1 they are not the same