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# how to set up

the larger of two numbers is 11 more than twice the smaller. the sum of the number is 1 less than seven times the smaller

### 2 Answers by Expert Tutors

Andrew L. | Educating, One Mind at a Time!Educating, One Mind at a Time!
5.0 5.0 (208 lesson ratings) (208)
2
Hi M,

To start off, we have to determine how many equations we need to solve this problem.  Seeing that the problem involves a "larger number" and a "smaller number" and that we are given 2 different constraints we can be assured that we will need 2 variables and 2 equations!

1) We start off with a let statement (a statement where we can declare what each variable represents):
let s= the smaller number
let l = the larger number

(I'm sure you can see why I picked s and l).

2) now we can write the equations

l=2s+11
s+l=7s-1

And that's it!!  If you would like more help in solving it, feel free to reply to this post or even reach out to me personally.  Good luck!

Leeland C. | Mathematics and English expert through High School level classesMathematics and English expert through H...
-1
x=2y+11
x+y=7y-1