208k views
5 votes
What is the variable equal in the equation ten less than 3 times a number is the same as the number plus 4?

User Farida
by
8.2k points

2 Answers

5 votes

x-\ number\\\\ 3x-10=x+4\ \ \ | subtract\ x\\\\ 2x-10=4\ \ \ | add\ 10\\\\ 2x=14\ \ \ | divide\ by\ 2\\\\ x=7\\\\ Number\ is \ 7.
User Varun Patro
by
8.6k points
1 vote

The variable is "the number". To make it easier to write the equation
and work with it, let's call the variable 'M' for 'Mystery number'.

3 times the number is 3M .

-- 10 less than that is 3M-10 .
-- the number plus 4 is M+4 .

The question says that these two things are the same.
So ...
3M - 10 = M + 4

Subtract 'M' from each side: 2M - 10 = 4

Add 10 to each side: 2M = 14

Divide each side by 2 : M = 7


User Arul
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories