Math systems of linear equations and applications

Question

The sum of two numbers is fifteen. One less than three time the smaller is equal to the larger. Find the two numbers.

use either the substitution method or elimination method to solve.

include a let statement, equation and solution.

Answer 1

x+y=15

x=15-y

3y-1=x

15-y=3y-1

4y =16

y =4 is the smaller number

x =11 is the larger number