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Six less than a number is four more than one-third of the number. Find the number.

User Nate Getch
by
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1 Answer

2 votes

Answer:

x - 6 = 1/3x + 4

x = 15

Hope this helps :)

Hope this helps :)Explanation and Check part below.

Explanation:

1. Get the variable on one side by subtracting x.

x - 6 = 1/3x + 4

- 1 x - 1 x

- 6 = - 2/3x + 4

2. Subtract 4 which is the inverse operation of addition.

- 6 = - 2/3x + 4

- 4 - 4

- 10 = - 2/3x

3. Divide by - 2/3 which is the invers eoperation of multiplication.

- 10 = - 2/3x

- 2/3 - 2/3

(Keep,Change,Change - KCC method)

- 10 ÷ - 2/3 = - 10 × - 3/2 = 30/2 = 15

- 10 = - 2/3x

- 2/3 - 2/3

15 = x → x = 15

Check:

15 - 6 = 1/3(15) + 4

9 = 15/3 + 4

9 = 5 + 4

9 = 9

True statement.

User Jumaane
by
3.6k points