Question

21 less then four times a number is the same as six times the number plus 11. What is the number

Answer 1

x = - 16

Explanation:

Let the number = x

Read the phrases just a little at a time.

• "four times a number"
• 4x
• "Twenty One Less than"
• 4x - 21

is which means =

• "six times the number"
• 6x
• "plus 11"
• 6x + 11

So put the two parts together.

Equation

4x - 21 = 6x + 11 Add 21 to both sides

Solution

4x - 21 + 21 = 6x + 11 + 21 Combine

4x = 6x + 32 Subtract 6x from both sides.

4x - 6x = 6x - 6x + 32 Combine

- 2x = 32 Divide by -2

-2x/-2 = 32/-2

x = -16

Answer 2

-16 =n

Explanation:

Let n= number

4n -21 = 6n +11

Subtract 4n from each side

4n-4n -21 = 6n-4n +11

-21 = 2n+11

Subtract 11 from each side

-21-11 = 2n

-32 = 2n

Divide by 2

-32/2 = 2n/2

-16 =n